* 4.13*, for character tables 71.7+ 4.13- 4.13-A 3.1-a 3.1-B 3.1-b 3.1-C 3.1-D 3.1-E 3.1-e 3.1-f 3.1-g 3.1-g -g 3.1-h 3.1-i 3.1-K 3.1-L 3.1-l 3.1-M 3.1-m 3.1-n 3.1-O 3.1-o 3.1-P 3.1-p 3.1-q 3.1-R 3.1-r 3.1-s 3.1-T 3.1-U 3.1-W 3.1-X 3.1-x 3.1-y 3.1-z 3.1/ 4.13/, for character tables 71.7\" 27.2\' 27.2\\ 27.2\b 27.2\c 27.2\r 27.2\XYZ 27.2^, for class functions 72.4ExternalSet, computing orbits 85.3InstallReadlineMacro 6.9-4InvocationReadlineMacro 6.9-4Orbits, as attributes for external sets 85.3ReadlineInitLine 6.9-1\< 31.11-1\<, for associative words 37.3-2\<, for nonassociative words 36.2-2\<, for pcwords 46.2-1\<, for permutations 42.2-1\<, for two elements in a f.p. group 47.3-2\<, for two strings 27.5-2\* 31.12-1\*, for pcwords 46.2-2\+ 31.12-1\. 29.7-3\.\:\= 29.7-3\/ 31.12-1\/, for a free group and a list of elements 47.2-1\/, for a free monoid and a list of pairs of elements 53.5-1\/, for a free semigroup and a list of pairs of elements 53.2-1\= 31.11-1\=, for associative words 37.3-1\=, for nonassociative words 36.2-1\=, for pcwords 46.2-1\=, for permutations 42.2-1\=, for two elements in a f.p. group 47.3-1\=, for two elements in a f.p. semigroup 53.3-1\=, for two strings 27.5-1\[\] 21.2-1\[\]\:\= 21.2-1\^ 31.12-1\^, for a field and a pair of integers 61.9-5\^, for a field and an integer 61.9-4\in, element test for lists 21.8-1\in, for a collection 30.6-1\in, for strictly sorted lists 21.19-1\mod 31.12-1\mod, for residue class rings 14.5-1\mod, for two pcgs 45.9-5\{\} 21.3-1\{\}\:\= 21.4-1^ 4.13AbelianGroup 50.1-3AbelianInvariants 39.16-1AbelianInvariants, for a character table 71.8-5AbelianInvariants, for groups 39.16-1AbelianInvariantsMultiplier 39.24-3AbelianInvariantsNormalClosureFpGroup 47.15-4AbelianInvariantsNormalClosureFpGroupRrs 47.15-5AbelianInvariantsOfList 25.2-10AbelianInvariantsSubgroupFpGroup 47.15-1AbelianInvariantsSubgroupFpGroupMtc 47.15-2AbelianInvariantsSubgroupFpGroupRrs, for a group and a coset table 47.15-3AbelianInvariantsSubgroupFpGroupRrs, for two groups 47.15-3AbelianNumberField 60.1-2AbelianSubfactorAction 41.8-3AbsInt 14.2-6AbsoluteDiameter 19.2-4AbsoluteIrreducibleModules 71.15-2AbsolutelyIrreducibleModules 71.15-2AbsoluteValue 18.1-8AbsolutIrreducibleModules 71.15-2AbstractWordTietzeWord 48.3-2AClosestVectorCombinationsMatFFEVecFFE 23.6-5AClosestVectorCombinationsMatFFEVecFFECoords 23.6-5Acos 19.2-1Acosh 19.2-1ActingAlgebra 62.11-13ActingDomain 41.12-3Action, for a group, an action domain, etc. 41.7-2Action, for an external set 41.7-2ActionHomomorphism, for a group, an action domain, etc. 41.7-1ActionHomomorphism, for an action image 41.7-1ActionHomomorphism, for an external set 41.7-1ActorOfExternalSet 41.12-15Add 21.4-2AddCoeffs 23.4-2AddDictionary 28.3-4AddGenerator 48.5-1AddGeneratorsExtendSchreierTree 43.11-10AdditiveInverse 31.10-9AdditiveInverseAttr 31.10-9AdditiveInverseImmutable 31.10-9AdditiveInverseMutable 31.10-9AdditiveInverseOp 31.10-9AdditiveInverseSameMutability 31.10-9AdditiveInverseSM 31.10-9AdditiveNeutralElement 55.3-5AddRelator 48.5-3AddRowVector 23.4-1AddRule 38.1-9AddRuleReduced 38.1-10AddSet 21.19-4AdjointAssociativeAlgebra 64.9-2AdjointBasis 62.9-5AdjointMatrix 64.9-1AdjointModule 62.11-19AffineAction 45.14-4AffineActionLayer 45.14-5Agemo 39.14-2Algebra 62.2-1AlgebraByStructureConstants 62.4-1AlgebraGeneralMappingByImages 62.10-1AlgebraHomomorphismByImages 62.10-2AlgebraHomomorphismByImagesNC 62.10-3AlgebraicExtension 67.1-1AlgebraWithOne 62.2-2AlgebraWithOneGeneralMappingByImages 62.10-4AlgebraWithOneHomomorphismByImages 62.10-5AlgebraWithOneHomomorphismByImagesNC 62.10-6AllAutomorphisms 40.9-3AllBlocks 41.11-4AllEndomorphisms 40.9-3AllHomomorphismClasses 40.9-2AllHomomorphisms 40.9-3AllIrreducibleSolvableGroups 50.11-3AllLibraryGroups 50.5AllPrimitiveGroups 50.5AllSmallGroups 50.7-2AllSmallNonabelianSimpleGroups 39.15-16AllSubgroups 39.19-5AllTransitiveGroups 50.5Alpha 75.2-1AlternatingGroup, for a degree 50.1-8AlternatingGroup, for a domain 50.1-8and 20.4-2and, for filters 13.2and, for filters 20.4-2ANFAutomorphism 60.4-2AntiSymmetricParts 72.11-3Append 21.4-5AppendTo 9.7-3AppendTo, for streams 10.4-4ApplicableMethod 7.2-1ApplicableMethodTypes 7.2-1Apply 21.20-10ApplySimpleReflection 64.7-4ApproximateSuborbitsStabilizerPermGroup 43.10-14ARCH_IS_MAC_OS_X 3.4-2ARCH_IS_UNIX 3.4-1ARCH_IS_WINDOWS 3.4-3arg, special function argument 4.11-1arg, special function argument 4.23Argument 19.2-1ArithmeticElementCreator 80.9-1Arrangements 16.2-4AsAlgebra 62.9-7AsAlgebraWithOne 62.9-8AsBinaryRelationOnPoints, for a binary relation 33.3-3AsBinaryRelationOnPoints, for a permutation 33.3-3AsBinaryRelationOnPoints, for a transformation 33.3-3AsBlockMatrix 24.17-1AscendingChain 39.17-16AsDivisionRing 58.1-9AsDuplicateFreeList 21.20-5AsField 58.1-9AsGroup 39.2-5AsGroupGeneralMappingByImages 40.1-5Asin 19.2-1Asinh 19.2-1AsInternalFFE 59.2-6AsLeftIdeal 56.2-11AsLeftModule 57.1-5AsList 30.3-8AsMagma 35.2-10AsMonoid 52.1-5AsPolynomial 66.4-5AsRightIdeal 56.2-11AsSemigroup 51.1-5Assert 7.5-3AssertionLevel 7.5-2AsSet 30.3-10AssignGeneratorVariables 37.2-3AssignNiceMonomorphismAutomorphismGroup 40.8-1AssociatedPartition 16.2-28AssociatedReesMatrixSemigroupOfDClass 51.8-10Associates 56.5-4AssocWordByLetterRep 37.6-9AsSortedList 30.3-9AsSSortedList 30.3-10AsStruct 31.4AsSubalgebra 62.9-9AsSubalgebraWithOne 62.9-10AsSubgroup 39.3-4AsSubgroupOfWholeGroupByQuotient 47.13-3AsSubmagma 35.2-11AsSubmonoid 52.1-6AsSubsemigroup 51.1-6AsSubspace 61.2-4AsSubstruct 31.8AsTransformation 54.1-13AsTransformationNC 54.1-13AsTwoSidedIdeal 56.2-11AsVectorSpace 61.2-3Atan 19.2-1Atan2 19.2-1Atanh 19.2-1AtlasIrrationality 18.4-6AttributeValueNotSet 13.6-3AugmentationIdeal 65.1-7AugmentedCosetTableInWholeGroup 47.9-1AugmentedCosetTableMtc 47.9-2AugmentedCosetTableRrs 47.9-3AutomorphismDomain 40.7-3AutomorphismGroup 40.7-1AutomorphismGroup, for groups with pcgs 45.16AutomorphismsOfTable 71.9-4BANNER 77.4BaseFixedSpace 24.7-8BaseIntersectionIntMats 25.1-5BaseIntMat 25.1-4BaseMat 24.11-1BaseMatDestructive 24.11-2BaseOfGroup 43.10-2BaseOrthogonalSpaceMat 24.11-3BaseStabChain 43.10-1BaseSteinitzVectors 24.11-5BasicSpinRepresentationOfSymmetricGroup 39.24-9BasicWreathProductOrdering 34.4-11Basis 61.5-2BasisNC 61.5-2BasisVectors 61.6-1Bell 16.1-3Bernoulli 16.1-4BestQuoInt 14.3-2BestSplittingMatrix 71.17-5BiAlgebraModule 62.11-6BiAlgebraModuleByGenerators 62.11-3BibEntry 76.3-14BilinearFormMat 64.6-13BinaryRelationByElements 33.1-2BinaryRelationOnPoints 33.3-1BinaryRelationOnPointsNC 33.3-1BinaryRelationTransformation 54.1-15BindGlobal 4.9-7Binomial 16.1-2BisectInterval 19.2-4BlistList 22.2-1BlockMatrix 24.17-2Blocks, for a group, an action domain, etc. 41.11-1Blocks, for an external set 41.11-1BlocksInfo 71.11-3BlownUpMat 24.13-3BlownUpVector 24.13-4BlowupInterval 19.2-4BlowUpIsomorphism 44.3-3BombieriNorm 66.12-1BrauerCharacterValue 72.15-2BrauerTable, for a character table, and a prime integer 71.3-2BrauerTable, for a group, and a prime integer 71.3-2BrauerTableOp 71.3-2BravaisGroup 44.6-11BravaisSubgroups 44.6-12BravaisSupergroups 44.6-13break statement 4.21CallFuncList 5.2-1CanComputeIndex 39.25-5CanComputeIsSubset 39.25-6CanComputeSize 39.25-3CanComputeSizeAnySubgroup 39.25-4CanEasilyCompareElements 31.11-2CanEasilyCompareElementsFamily 31.11-2CanEasilyComputePcgs 45.2-3CanEasilyComputeWithIndependentGensAbelianGroup 39.25-2CanEasilySortElements 31.11-2CanEasilySortElementsFamily 31.11-2CanEasilyTestMembership 39.25-1CanonicalBasis 61.5-3CanonicalGenerators 64.6-14CanonicalPcElement 45.5-9CanonicalPcgs 45.8-2CanonicalPcgsByGeneratorsWithImages 45.9-7CanonicalRepresentativeDeterminatorOfExternalSet 41.12-14CanonicalRepresentativeOfExternalSet 41.12-13CanonicalRightCosetElement 39.7-3CartanMatrix 64.6-12CartanSubalgebra 64.3-7Cartesian, for a list 21.20-16Cartesian, for various objects 21.20-16CategoriesOfObject 13.3-1CategoryCollections 30.2-4CategoryFamily 79.1-2Ceil 19.2-1Center 35.4-5CentralCharacter 72.8-17CentralIdempotentsOfAlgebra 62.9-17Centralizer, for a class of objects in a magma 35.4-4Centralizer, for a magma and a submagma 35.4-4Centralizer, for a magma and an element 35.4-4Centralizer, for groups with pcgs 45.16CentralizerInGLnZ 44.6-8CentralizerModulo 39.18-7CentralizerSizeLimitConsiderFunction 45.17-2CentralNormalSeriesByPcgs 45.11-8Centre 35.4-5Centre, for groups with pcgs 45.16CentreOfCharacter 72.8-11CF, for (subfield and) conductor 60.1-1CF, for (subfield and) generators 60.1-1ChangeStabChain 43.11-3Character, for a character table and a list 72.6-3Character, for a group and a list 72.6-3CharacterDegrees, for a character table 71.8-1CharacterDegrees, for a group 71.8-1Characteristic 31.10-1Characteristic, for a class function 72.4-1CharacteristicPolynomial 24.13-1CharacterNames 71.9-6CharacterParameters 71.9-7CharacterTable, for a group 71.3-1CharacterTable, for a string 71.3-1CharacterTable, for an ordinary character table 71.3-1CharacterTableDirectProduct 71.20-1CharacterTableFactorGroup 71.20-3CharacterTableIsoclinic 71.20-4CharacterTableRegular 71.3-3CharacterTableWithSortedCharacters 71.21-1CharacterTableWithSortedClasses 71.21-3CharacterTableWithStoredGroup 71.6-4CharacterTableWreathSymmetric 71.20-5CharInt 27.7-2CharsFamily 27.3-5CharSInt 27.7-4CheckDigitISBN 14.6-1CheckDigitISBN13 14.6-1CheckDigitPostalMoneyOrder 14.6-1CheckDigitTestFunction 14.6-2CheckDigitUPC 14.6-1CheckFixedPoints 73.5-10CheckForHandlingByNiceBasis 61.12-3CheckPermChar 73.7-2ChevalleyBasis 64.6-2ChiefNormalSeriesByPcgs 45.11-16ChiefSeries 39.17-1ChiefSeriesThrough 39.17-2ChiefSeriesUnderAction 39.17-3ChineseRem 14.3-9Chomp 27.6-18CIUnivPols 66.1-5ClassElementLattice 39.20-2ClassesSolvableGroup 45.17-1ClassFunction, for a character table and a list 72.6-1ClassFunction, for a group and a list 72.6-1ClassFunctionSameType 72.6-4ClassMultiplicationCoefficient, for character tables 71.12-7ClassMultiplicationCoefficient, for character tables 71.12-7ClassNames 71.9-6ClassNamesTom 70.7-5ClassOrbit 71.9-12ClassParameters 71.9-7ClassPermutation 71.21-5ClassPositionsOfAgemo 71.10-2ClassPositionsOfCenter, for a character table 71.10-3ClassPositionsOfCentre, for a character 72.8-12ClassPositionsOfCentre, for a character table 71.10-3ClassPositionsOfDerivedSubgroup 71.10-5ClassPositionsOfDirectProductDecompositions 71.10-4ClassPositionsOfElementaryAbelianSeries 71.10-6ClassPositionsOfFittingSubgroup 71.10-7ClassPositionsOfKernel 72.8-10ClassPositionsOfLowerCentralSeries 71.10-8ClassPositionsOfMaximalNormalSubgroups 71.10-1ClassPositionsOfMinimalNormalSubgroups 71.10-1ClassPositionsOfNormalClosure 71.10-12ClassPositionsOfNormalSubgroup 71.23-2ClassPositionsOfNormalSubgroups 71.10-1ClassPositionsOfPCore 71.10-11ClassPositionsOfSupersolvableResiduum 71.10-10ClassPositionsOfUpperCentralSeries 71.10-9ClassRoots 71.9-13ClassStructureCharTable 71.12-8ClassTypesTom 70.7-4CleanedTailPcElement 45.5-11ClearCacheStats 7.7-12ClearProfile 7.7-9CloseMutableBasis 61.8-6CloseStream 10.2-1ClosureGroup 39.4-1ClosureGroupAddElm 39.4-2ClosureGroupCompare 39.4-2ClosureGroupDefault 39.4-3ClosureGroupIntest 39.4-2ClosureLeftModule 57.2-3ClosureNearAdditiveGroup, for a near-additive group and an element 55.4-1ClosureNearAdditiveGroup, for two near-additive groups 55.4-1ClosureRing, for a ring and a ring element 56.1-8ClosureRing, for two rings 56.1-8ClosureStruct 31.3ClosureSubgroup 39.4-4ClosureSubgroupNC 39.4-4Coboundaries 64.12-7Cochain 64.12-2CochainSpace 64.12-3Cocycles, for Lie algebra module 64.12-6CodePcGroup 46.9-2CodePcgs 46.9-1Coefficients 61.6-3CoefficientsAndMagmaElements 65.2-4CoefficientsFamily 66.19-3CoefficientsMultiadic 14.3-8CoefficientsOfLaurentPolynomial 66.13-2CoefficientsOfUnivariatePolynomial 66.4-9CoefficientsOfUnivariateRationalFunction 66.4-7CoefficientsQadic 14.3-7CoefficientsRing 66.15-3CoeffsCyc 18.1-10CoeffsMod 23.4-4COHORTS_PRIMITIVE_GROUPS 50.9-4CoKernelOfAdditiveGeneralMapping 32.10-6CoKernelOfMultiplicativeGeneralMapping 32.9-6CollapsedMat 73.5-16Collected 21.20-3CollectionsFamily 30.2-1ColorPrompt 3.6-1ColumnIndexOfReesMatrixSemigroupElement 51.8-8ColumnIndexOfReesZeroMatrixSemigroupElement 51.8-8Combinations 16.2-1CombinatorialCollector 46.4-2Comm 31.12-3Comm, for words 37.4CommutativeDiagram 73.5-9CommutatorFactorGroup 39.18-3CommutatorLength 39.12-4CommutatorLength, for a character table 71.8-5CommutatorSubgroup 39.12-2Compacted 21.20-2CompanionMat 24.13-5CompareVersionNumbers 76.3-6CompatibleConjugacyClasses 71.6-5CompatiblePairs 46.8-8ComplementClassesRepresentatives 39.11-6ComplementClassesRepresentativesEA 39.23-4ComplementIntMat 25.1-6ComplementSystem 39.13-5ComplexConjugate 18.5-2ComplexConjugate, for a class function 72.4-2ComplexI 19.2-1ComplexificationQuat, for a matrix 62.5-2ComplexificationQuat, for a vector 62.5-2CompositionMapping 32.2-4CompositionMapping, for Frobenius automorphisms 59.4-1CompositionMapping2 32.2-5CompositionMapping2General 32.2-5CompositionMaps 73.5-1CompositionOfStraightLinePrograms 37.8-7CompositionSeries 39.17-5CompositionSeries, for groups with pcgs 45.16ComputedBrauerTables 71.3-2ComputedClassFusions 73.3-2ComputedIndicators 71.12-5ComputedIsPSolubleCharacterTables 71.12-3ComputedIsPSolvableCharacterTables 71.12-3ComputedPowerMaps 73.1-1ComputedPrimeBlockss 71.11-1Concatenation, for a list of lists 21.20-1Concatenation, for several lists 21.20-1Conductor, for a collection of cyclotomics 18.1-7Conductor, for a cyclotomic 18.1-7ConfluentRws 38.1-6Congruences, for character tables 73.6-2ConjugacyClass 39.10-1ConjugacyClasses, attribute 39.10-2ConjugacyClasses, for character tables 71.6-2ConjugacyClasses, for groups with pcgs 45.16ConjugacyClasses, for linear groups 50.3ConjugacyClassesByOrbits 39.10-4ConjugacyClassesByRandomSearch 39.10-3ConjugacyClassesMaximalSubgroups 39.19-4ConjugacyClassesPerfectSubgroups 39.20-7ConjugacyClassesSubgroups 39.19-3ConjugacyClassSubgroups 39.19-1ConjugateDominantWeight 64.7-6ConjugateDominantWeightWithWord 64.7-6ConjugateGroup 39.2-6Conjugates 58.3-6ConjugateSubgroup 39.3-8ConjugateSubgroups 39.3-9ConjugatorAutomorphism 40.6-2ConjugatorAutomorphismNC 40.6-2ConjugatorIsomorphism 40.6-1ConjugatorOfConjugatorIsomorphism 40.6-5ConsiderKernels 73.6-3ConsiderSmallerPowerMaps 73.6-4ConsiderStructureConstants 73.3-7ConsiderTableAutomorphisms 73.7-3ConstantTimeAccessList 21.17-6ConstituentsCompositionMapping 32.2-7ConstituentsOfCharacter 72.8-8ContainedCharacters 73.5-17ContainedDecomposables 73.5-17ContainedMaps 73.5-6ContainedPossibleCharacters 73.5-15ContainedPossibleVirtualCharacters 73.5-15ContainedSpecialVectors 73.5-15ContainedTom 70.9-5ContainingTom 70.9-6continue statement 4.22ContinuedFractionApproximationOfRoot 15.6-2ContinuedFractionExpansionOfRoot 15.6-1ConvertToBlistRep 22.5-1ConvertToCharacterTable 71.3-5ConvertToCharacterTableNC 71.3-5ConvertToMatrixRep, for a list (and a field) 24.14-2ConvertToMatrixRep, for a list (and a prime power) 24.14-2ConvertToMatrixRepNC, for a list (and a field) 24.14-2ConvertToMatrixRepNC, for a list (and a prime power) 24.14-2ConvertToRangeRep 21.22-2ConvertToStringRep 27.3-2ConvertToTableOfMarks 70.6-5ConvertToVectorRep, for a list (and a field) 23.3-1ConvertToVectorRep, for a list (and a prime power) 23.3-1ConvertToVectorRepNC, for a list (and a field) 23.3-1ConvertToVectorRepNC, for a list (and a prime power) 23.3-1ConwayPolynomial 59.5-1CopyListEntries 21.4-4CopyOptionsDefaults 43.11-2CopyStabChain 43.11-1Core 39.11-2CorrespondingGeneratorsByModuloPcgs 45.9-6Cos 19.2-1CosetDecomposition 39.7-5CosetLeadersMatFFE 23.6-6CosetTable 47.6-1CosetTableBySubgroup 47.6-4CosetTableDefaultLimit 47.6-7CosetTableDefaultMaxLimit 47.6-6CosetTableFromGensAndRels 47.6-5CosetTableInWholeGroup 47.8-1CosetTableOfFpSemigroup 53.7-1CosetTableStandard 47.7-1Cosh 19.2-1Cot 19.2-1Coth 19.2-1CrcFile 9.7-7CrcString 27.8-4CrystGroupDefaultAction 44.7-1Csc 19.2-1Csch 19.2-1Cuberoot 19.2-1Cycle 41.9-3CycleIndex, for a permutation and an action domain 41.9-7CycleIndex, for a permutation group and an action domain 41.9-7CycleLength 41.9-4CycleLengths 41.9-6Cycles 41.9-5CycleStructureClass 72.8-14CycleStructurePerm 42.4-2CyclicExtensionsTom, for a list of primes 70.9-7CyclicExtensionsTom, for a prime 70.9-7CyclicGroup 50.1-2CyclotomicField, for (subfield and) conductor 60.1-1CyclotomicField, for (subfield and) generators 60.1-1CyclotomicPolynomial 66.9-1Cyclotomics 18.1-2CyclotomicsFamily 18.1-3DataType 13.9-2DayDMY 27.9-4DaysInMonth 27.9-2DaysInYear 27.9-1DeclareAttribute 79.17-3DeclareAttribute, example 80.5DeclareAttribute!example 80.8-3DeclareAutoPackage 77.2DeclareAutoreadableVariables 76.3-8DeclareCategory 79.17-1DeclareFilter 79.17-5DeclareGlobalFunction 79.17-7DeclareGlobalVariable 79.17-8DeclareHandlingByNiceBasis 61.12-1DeclareInfoClass 7.4-2DeclareOperation 79.17-6DeclarePackage 77.2DeclarePackageAutoDocumentation 77.2DeclarePackageDocumentation 77.2DeclareProperty 79.17-4DeclareRepresentation 79.17-2DeclareRepresentation, belongs to implementation part 79.18DeclareRepresentation, example 80.6DeclareSynonym 79.17-10DeclareSynonymAttr 79.17-10DeclareUserPreference 3.2-4DecodeTree 48.10-1DecomposedFixedPointVector 70.9-8DecomposeTensorProduct 64.13-3Decomposition 25.4-1DecompositionInt 25.4-5DecompositionMatrix 71.11-4Decreased 72.10-7DEFAULTDISPLAYSTRING 27.6-2DefaultField, for a list of generators 58.1-4DefaultField, for cyclotomics 18.1-16DefaultField, for finite field elements 59.3-1DefaultField, for several generators 58.1-4DefaultFieldByGenerators 58.1-5DefaultFieldOfMatrix 24.4-2DefaultFieldOfMatrixGroup 44.2-2DefaultInfoHandler 7.4-6DefaultRing, for a collection 56.1-3DefaultRing, for finite field elements 59.3-1DefaultRing, for ring elements 56.1-3DefaultRingByGenerators 56.1-5DefaultStabChainOptions 43.8-3DEFAULTVIEWSTRING 27.6-4DefiningPolynomial 58.2-7DefiningQuotientHomomorphism 47.13-4DegreeFFE, for a FFE 59.2-1DegreeFFE, for a matrix of FFEs 59.2-1DegreeFFE, for a vector of FFEs 59.2-1DegreeIndeterminate 66.6-1DegreeOfBinaryRelation 33.2-10DegreeOfCharacter 72.8-4DegreeOfLaurentPolynomial 66.5-3DegreeOfTransformation 54.1-6DegreeOfTransformationSemigroup 51.3-2DegreeOverPrimeField 58.2-6Delta 75.2-2DenominatorCyc 18.1-11DenominatorOfModuloPcgs 45.9-4DenominatorOfRationalFunction 66.4-3DenominatorRat 17.2-5DenseHashTable 28.6-1DenseIntKey 28.5-1DepthOfPcElement 45.5-4DepthOfUpperTriangularMatrix 24.12-3Derangements 16.2-14Derivations 64.2-6Derivative 66.6-5DerivedLength 39.17-8DerivedSeriesOfGroup 39.17-7DerivedSubgroup 39.12-3DerivedSubgroupsTom 70.9-2DerivedSubgroupsTomPossible 70.9-3DerivedSubgroupsTomUnique 70.9-3DerivedSubgroupTom 70.9-2DescriptionOfRootOfUnity 18.1-13Determinant 24.4-4DeterminantIntMat 25.3-1DeterminantMat 24.4-4DeterminantMatDestructive 24.4-5DeterminantMatDivFree 24.4-6DeterminantOfCharacter 72.8-18DiagonalizeIntMat 25.2-8DiagonalizeMat 24.9-3DiagonalMat 24.5-4DiagonalOfMat 24.12-1DictionaryByPosition 28.3-1DicyclicGroup 50.1-6Difference 30.5-4DifferenceBlist 22.3-3DihedralGroup 50.1-5Dimension 57.3-3DimensionOfHighestWeightModule 64.13-4DimensionOfMatrixGroup 44.2-1DimensionOfVectors 61.9-6DimensionsLoewyFactors 39.17-15DimensionsMat 24.4-1DirectoriesLibrary 9.3-5DirectoriesPackageLibrary 76.3-4DirectoriesPackagePrograms 76.3-5DirectoriesSystemPrograms 9.3-6Directory 9.3-2DirectoryContents 9.3-7DirectoryCurrent 9.3-4DirectoryDesktop 9.3-8DirectoryHome 9.3-9DirectoryTemporary 9.3-3DirectProduct 49.1-1DirectProductOp 49.1-1DirectSumDecomposition, for Lie algebras 62.9-18DirectSumOfAlgebraModules, for a list of Lie algebra modules 62.11-23DirectSumOfAlgebraModules, for two Lie algebra modules 62.11-23DirectSumOfAlgebras, for a list of algebras 62.9-14DirectSumOfAlgebras, for two algebras 62.9-14DisableAttributeValueStoring 13.6-5Discriminant 66.6-6Display 6.3-6Display, for a character table 71.13-3Display, for a ffe 59.6-1Display, for a table of marks 70.4-3Display, for class functions 72.5-3DisplayCacheStats 7.7-11DisplayCompositionSeries 39.17-6DisplayEggBoxOfDClass 51.7-7DisplayImfInvariants 50.12-2DisplayInformationPerfectGroups, for a pair [ order, index ] 50.8-7DisplayInformationPerfectGroups, for group order (and index) 50.8-7DisplayOptions 71.13-4DisplayOptionsStack 8.1-6DisplayPackageLoadingLog 76.2-4DisplayProfile 7.7-8DisplayString 27.6-1DistancePerms 42.2-2DistancesDistributionMatFFEVecFFE 23.6-4DistancesDistributionVecFFEsVecFFE 23.6-3DistanceVecFFE 23.6-2DivisionRingByGenerators 58.1-8DivisorsInt 14.4-12DixonInit 71.17-2DixonRecord 71.17-1DixonSplit 71.17-4DixontinI 71.17-3DMYDay 27.9-3DMYhmsSeconds 27.9-11DnLattice 72.10-8DnLatticeIterative 72.10-9do 4.20Domain 31.9-3DomainByGenerators 31.9-3DominantCharacter, for a root system and a highest weight 64.13-2DominantCharacter, for a semisimple Lie algebra and a highest weight 64.13-2DominantWeights 64.13-1DotFileLatticeSubgroups 39.20-3DoubleCoset 39.9-1DoubleCosetRepsAndSizes 39.9-5DoubleCosets 39.9-3DoubleCosetsNC 39.9-3DoubleCoverOfAlternatingGroup 39.24-11DoubleHashArraySize 28.7-2DownEnv 6.5-1DuplicateFreeList 21.20-4DxIncludeIrreducibles 71.17-6E 18.1-1EANormalSeriesByPcgs 45.11-4Earns, for a group, an action domain, etc. 41.10-6Earns, for an external set 41.10-6EB 18.4-1EC 18.4-1ED 18.4-1Edit 6.10-1EE 18.4-1EF 18.4-1EG 18.4-1EggBoxOfDClass 51.7-6EH 18.4-1EI 18.4-2Eigenspaces 24.8-4Eigenvalues 24.8-3EigenvaluesChar 72.8-19Eigenvectors 24.8-5EJ 18.4-4EK 18.4-4EL 18.4-4ElementaryAbelianGroup 50.1-4ElementaryAbelianSeries, for a group 39.17-9ElementaryAbelianSeries, for a list 39.17-9ElementaryAbelianSeriesLargeSteps 39.17-9ElementaryDivisorsMat 24.9-1ElementaryDivisorsMatDestructive 24.9-1ElementaryDivisorsTransformationsMat 24.9-2ElementaryDivisorsTransformationsMatDestructive 24.9-2ElementOfFpGroup 47.4-5ElementOfFpSemigroup 53.4-2ElementOfMagmaRing 65.2-6ElementOrdersPowerMap 73.1-3ElementProperty 43.12-2Elements 30.3-11ElementsFamily 30.2-3ElementsStabChain 43.10-9elif 4.17EliminatedWord 37.4-6EliminationOrdering 66.17-10ElmWPObj 86.2-1else 4.17EM 18.4-4emacs 6.11Embedding, example for direct products 49.1-1Embedding, example for semidirect products 49.2-1Embedding, example for wreath products 49.4-1Embedding, for Lie algebras 64.1-3Embedding, for a domain and a positive integer 32.2-10Embedding, for group products 49.6-1Embedding, for magma rings 65.3Embedding, for two domains 32.2-10EmptyBinaryRelation, for a degree 33.1-4EmptyBinaryRelation, for a domain 33.1-4EmptyMatrix 24.5-3EmptyPlist 21.9-1EmptySCTable 62.4-3EmptyStabChain 43.11-7EmptyString 27.3-4EnableAttributeValueStoring 13.6-6end 4.23End 61.10-6EndlineFunc 5.1-5Enumerator 30.3-2EnumeratorByBasis 61.6-5EnumeratorByFunctions, for a domain and a record 30.3-4EnumeratorByFunctions, for a family and a record 30.3-4EnumeratorOfCombinations 16.2-2EnumeratorOfTuples 16.2-9EnumeratorSorted 30.3-3Epicentre 39.24-4EpimorphismFromFreeGroup 39.5-1EpimorphismNilpotentQuotient 47.14-4EpimorphismNonabelianExteriorSquare 39.24-6EpimorphismPGroup 47.14-3EpimorphismQuotientSystem 47.14-2EpimorphismSchurCover 39.24-1EpimorphismSolvableQuotient 47.14-6EqFloat 19.2-2EquivalenceClasses, attribute 33.7-3EquivalenceClassOfElement 33.7-4EquivalenceClassOfElementNC 33.7-4EquivalenceClassRelation 33.7-2EquivalenceRelationByPairs 33.5-3EquivalenceRelationByPairsNC 33.5-3EquivalenceRelationByPartition 33.5-1EquivalenceRelationByPartitionNC 33.5-1EquivalenceRelationByProperty 33.5-4EquivalenceRelationByRelation 33.5-2EquivalenceRelationPartition 33.6-1ER 18.4-2Erf 19.2-1Error 6.6-1ErrorCount 6.6-2ErrorNoTraceBack 6.4-3ES 18.4-3ET 18.4-3EU 18.4-3EuclideanDegree 56.6-2EuclideanQuotient 56.6-3EuclideanRemainder 56.6-4EulerianFunction 39.16-3EulerianFunctionByTom 70.9-9EV 18.4-3EvalStraightLineProgElm 37.9-4EvalString 27.8-3EW 18.4-3EX 18.4-3ExactSizeConsiderFunction 39.21-5Exec 11.1-2Exp 19.2-1Exp10 19.2-1Exp2 19.2-1Expm1 19.2-1Exponent 39.16-2Exponent, for a character table 71.8-5ExponentOfPcElement 45.5-2ExponentsConjugateLayer 45.6-1ExponentsOfCommutator 45.6-4ExponentsOfConjugate 45.6-3ExponentsOfPcElement 45.5-3ExponentsOfRelativePower 45.6-2ExponentSumWord 37.4-2ExponentSyllable 37.5-2ExtendedPcgs 45.7-8ExtendRootDirectories 76.2-3ExtendStabChain 43.11-4Extension 46.8-5ExtensionNC 46.8-5ExtensionRepresentatives 46.8-9Extensions 46.8-4ExteriorCentre 39.24-4ExteriorPowerOfAlgebraModule 64.15-2ExternalOrbit 41.12-9ExternalOrbits, for a group, an action domain, etc. 41.12-11ExternalOrbits, for an external set 41.12-11ExternalOrbitsStabilizers, for a group, an action domain, etc. 41.12-12ExternalOrbitsStabilizers, for an external set 41.12-12ExternalSet 41.12-2ExternalSubset 41.12-7Extract 72.10-5ExtraspecialGroup 50.1-7ExtRepDenominatorRatFun 66.21-3ExtRepNumeratorRatFun 66.21-2ExtRepOfObj 79.15-1ExtRepOfObj, for a cyclotomic 18.1-12ExtRepPolynomialRatFun 66.21-6EY 18.4-3FactorCosetAction 41.8-1FactorCosetAction, for fp groups 47.6-3FactorFreeSemigroupByRelations 53.2-2FactorGroup 39.18-2FactorGroupFpGroupByRels 47.2-2FactorGroupNC 39.18-2FactorGroupNormalSubgroupClasses 71.23-4FactorGroupTom 70.9-11Factorial 16.1-1Factorization 39.5-2Factors 56.5-9Factors, for polynomials over abelian number fields 60.2-1Factors, of polynomial 66.10-1FactorsInt 14.4-7FactorsInt, using Pollard's Rho 14.4-7FactorsOfDirectProduct 71.20-2FactorsSquarefree 66.10-2fail 20.2-1FaithfulModule, for Lie algebras 62.11-20FamiliesOfGeneralMappingsAndRanges 32.14-5FamiliesOfRows 71.22-5FamilyForOrdering 34.3-4FamilyObj 13.1-1FamilyPcgs 46.1-1FamilyRange 32.14-3FamilySource 32.14-4fi 4.17Fibonacci 16.3-1Field, for (a field and) a list of generators 58.1-3Field, for several generators 58.1-3FieldByGenerators 58.1-8FieldExtension 58.2-9FieldOfMatrixGroup 44.2-3FieldOverItselfByGenerators 58.2-2FileDescriptorOfStream 10.2-2Filename, for a directory and a string 9.4-1Filename, for a list of directories and a string 9.4-1FilenameFunc 5.1-4Filtered 21.20-20FindSl2 64.9-7First 21.20-22FittingSubgroup 39.12-5Flat 21.20-6Float 19.2-7FLOAT, constants 19.2-6Floor 19.2-1FlushCaches 79.17-11for loop 4.20ForAll 21.20-23ForAny 21.20-24FpElmComparisonMethod 47.3-3FpGroupPresentation 48.1-4FpGrpMonSmgOfFpGrpMonSmgElement 53.1-7FpLieAlgebraByCartanMatrix 64.11-1Frac 19.2-1FrattiniSubgroup 39.12-6FrattiniSubgroup, for groups with pcgs 45.16FreeAlgebra, for ring and several names 62.3-1FreeAlgebra, for ring, rank (and name) 62.3-1FreeAlgebraWithOne, for ring and several names 62.3-2FreeAlgebraWithOne, for ring, rank (and name) 62.3-2FreeAssociativeAlgebra, for ring and several names 62.3-3FreeAssociativeAlgebra, for ring, rank (and name) 62.3-3FreeAssociativeAlgebraWithOne, for ring and several names 62.3-4FreeAssociativeAlgebraWithOne, for ring, rank (and name) 62.3-4FreeGeneratorsOfFpGroup 47.4-2FreeGeneratorsOfFpSemigroup 53.4-4FreeGeneratorsOfWholeGroup 47.4-2FreeGroup, for a list of names 37.2-1FreeGroup, for given rank 37.2-1FreeGroup, for infinitely many generators 37.2-1FreeGroup, for various names 37.2-1FreeGroupOfFpGroup 47.4-1FreeLeftModule 57.3-2FreeLieAlgebra, for ring and several names 64.2-4FreeLieAlgebra, for ring, rank (and name) 64.2-4FreeMagma, for a list of names 36.4-1FreeMagma, for given rank 36.4-1FreeMagma, for infinitely many generators 36.4-1FreeMagma, for various names 36.4-1FreeMagmaRing 65.1-1FreeMagmaWithOne, for a list of names 36.4-2FreeMagmaWithOne, for given rank 36.4-2FreeMagmaWithOne, for infinitely many generators 36.4-2FreeMagmaWithOne, for various names 36.4-2FreeMonoid, for a list of names 52.1-9FreeMonoid, for given rank 52.1-9FreeMonoid, for infinitely many generators 52.1-9FreeMonoid, for various names 52.1-9FreeMonoidOfRewritingSystem 53.6-7FreeProduct, for a list 49.5-1FreeProduct, for several groups 49.5-1FreeSemigroup, for a list of names 51.1-8FreeSemigroup, for given rank 51.1-8FreeSemigroup, for infinitely many generators 51.1-8FreeSemigroup, for various names 51.1-8FreeSemigroupOfFpSemigroup 53.4-3FreeSemigroupOfRewritingSystem 53.6-6FrobeniusAutomorphism 59.4-1FrobeniusCharacterValue 72.15-1FullMatrixAlgebra 62.5-4FullMatrixAlgebraCentralizer 62.9-15FullMatrixLieAlgebra 64.2-5FullMatrixModule 57.3-11FullMatrixSpace 61.9-5FullRowModule 57.3-9FullRowSpace 61.9-4FullTransformationSemigroup 51.3-5FunctionAction 41.12-4FunctionField, for an integral ring and a list of indeterminate numbers 66.15-8FunctionField, for an integral ring and a list of indeterminates 66.15-8FunctionField, for an integral ring and a list of names (and an exclusion list) 66.15-8FunctionField, for an integral ring and a rank (and an exclusion list) 66.15-8FunctionOperation 77.1FunctionsFamily 5.4-3FusionCharTableTom 70.11-1FusionConjugacyClasses, for a homomorphism 73.3-1FusionConjugacyClasses, for two character tables 73.3-1FusionConjugacyClasses, for two groups 73.3-1FusionConjugacyClassesOp, for a homomorphism 73.3-1FusionConjugacyClassesOp, for two character tables 73.3-1FusionsAllowedByRestrictions 73.7-4FusionsTom 70.7-6gac 76.3-9GaloisCyc, for a class function 72.4-2GaloisCyc, for a cyclotomic 18.5-1GaloisCyc, for a list of cyclotomics 18.5-1GaloisField, for characteristic and degree 59.3-2GaloisField, for characteristic and polynomial 59.3-2GaloisField, for field size 59.3-2GaloisField, for subfield and degree 59.3-2GaloisField, for subfield and polynomial 59.3-2GaloisGroup, for abelian number fields 60.4-1GaloisGroup, of field 58.3-1GaloisGroup, of rational class of a group 39.10-8GaloisMat 18.5-5GaloisStabilizer 60.2-5GaloisType 66.11-3Gamma 19.2-1GammaL 50.2-9gap.ini 3.2-1Gap3CatalogueIdGroup 50.7-7GAPInfo 3.5-1GAPInfo.Architecture 76.3-5GAPInfo.CommandLineOptions 3.1GAPInfo.Keywords 4.5GAPInfo.ProfileThreshold 7.7-8GAPInfo.RootPaths 9.2GAPInfo.UserGapRoot 9.2GAPInfo.Version 7.8GapInputPcGroup 46.6-1GapInputSCTable 62.4-5GAPKB_REW 53.6-2GAPTCENUM 47.6-5GasmanLimits 7.11-3GasmanMessageStatus 7.11-2GasmanStatistics 7.11-1GaussianIntegers 60.5-1GaussianRationals 60.1-3Gcd, for (a ring and) a list of elements 56.7-1Gcd, for (a ring and) several elements 56.7-1Gcdex 14.3-5GcdInt 14.3-4GcdOp 56.7-2GcdRepresentation, for (a ring and) a list of elements 56.7-3GcdRepresentation, for (a ring and) several elements 56.7-3GcdRepresentationOp 56.7-4GeneralisedEigenspaces 24.8-2GeneralisedEigenvalues 24.8-1GeneralizedEigenspaces 24.8-2GeneralizedEigenvalues 24.8-1GeneralLinearGroup, for dimension and a ring 50.2-1GeneralLinearGroup, for dimension and field size 50.2-1GeneralMappingByElements 32.2-1GeneralMappingsFamily 32.14-6GeneralOrthogonalGroup 50.2-6GeneralSemilinearGroup 50.2-9GeneralUnitaryGroup 50.2-3GeneratorsOfAdditiveGroup 55.3-4GeneratorsOfAdditiveMagma 55.3-2GeneratorsOfAdditiveMagmaWithZero 55.3-3GeneratorsOfAlgebra 62.9-1GeneratorsOfAlgebraModule 62.11-7GeneratorsOfAlgebraWithOne 62.9-2GeneratorsOfDivisionRing 58.1-6GeneratorsOfDomain 31.9-2GeneratorsOfEquivalenceRelationPartition 33.6-2GeneratorsOfField 58.1-7GeneratorsOfGroup 39.2-4GeneratorsOfIdeal 56.2-7GeneratorsOfLeftIdeal 56.2-8GeneratorsOfLeftModule 57.1-4GeneratorsOfLeftOperatorAdditiveGroup 57.1-3GeneratorsOfLeftVectorSpace 61.3-1GeneratorsOfMagma 35.4-1GeneratorsOfMagmaWithInverses 35.4-3GeneratorsOfMagmaWithOne 35.4-2GeneratorsOfMonoid 52.1-7GeneratorsOfNearAdditiveGroup 55.3-4GeneratorsOfNearAdditiveMagma 55.3-2GeneratorsOfNearAdditiveMagmaWithZero 55.3-3GeneratorsOfPresentation 48.1-3GeneratorsOfRightIdeal 56.2-9GeneratorsOfRightModule 57.1-9GeneratorsOfRightOperatorAdditiveGroup 57.1-8GeneratorsOfRing 56.1-6GeneratorsOfRingWithOne 56.3-4GeneratorsOfRws 38.1-12GeneratorsOfSemigroup 51.1-7GeneratorsOfStruct 31.3GeneratorsOfTwoSidedIdeal 56.2-7GeneratorsOfVectorSpace 61.3-1GeneratorsPrimeResidues 15.2-4GeneratorsSmallest 39.22-1GeneratorsSubgroupsTom 70.10-1GeneratorSyllable 37.5-3GetCyclotomicsLimit 18.6-1GetFusionMap 73.3-3GF, for characteristic and degree 59.3-2GF, for characteristic and polynomial 59.3-2GF, for field size 59.3-2GF, for subfield and degree 59.3-2GF, for subfield and polynomial 59.3-2GL, for dimension and a ring 50.2-1GL, for dimension and field size 50.2-1GlobalMersenneTwister 14.7-4GlobalRandomSource 14.7-4GModuleByMats, for empty list, the dimension, and a field 69.1-1GModuleByMats, for generators and a field 69.1-1GO 50.2-6GQuotients 40.9-4Grading 62.9-20GreensDClasses 51.7-9GreensDClassOfElement 51.7-8GreensDRelation 51.7-1GreensHClasses 51.7-9GreensHClassOfElement 51.7-8GreensHRelation 51.7-1GreensJClasses 51.7-9GreensJClassOfElement 51.7-8GreensJRelation 51.7-1GreensLClasses 51.7-9GreensLClassOfElement 51.7-8GreensLRelation 51.7-1GreensRClasses 51.7-9GreensRClassOfElement 51.7-8GreensRRelation 51.7-1GroebnerBasis, for a list and a monomial ordering 66.18-1GroebnerBasis, for an ideal and a monomial ordering 66.18-1GroebnerBasisNC 66.18-1Group, for a list of generators (and an identity element) 39.2-1Group, for several generators 39.2-1GroupByGenerators 39.2-2GroupByGenerators, with explicitly specified identity element 39.2-2GroupByRws 46.4-6GroupByRwsNC 46.4-6GroupGeneralMappingByImages 40.1-3GroupGeneralMappingByImages, from group to itself 40.1-3GroupGeneralMappingByImagesNC 40.1-3GroupGeneralMappingByImagesNC, from group to itself 40.1-3GroupHClassOfGreensDClass 51.7-10GroupHomomorphismByFunction, by function (and inverse function) between two domains 40.1-4GroupHomomorphismByFunction, by function and function that computes one preimage 40.1-4GroupHomomorphismByImages 40.1-1GroupHomomorphismByImagesNC 40.1-2GroupOfPcgs 45.4-5GroupRing 65.1-2GroupStabChain 43.10-5GroupWithGenerators 39.2-3GU 50.2-3HallSubgroup 39.13-3HallSystem 39.13-6HallSystem, for groups with pcgs 45.16HasAbelianFactorGroup 39.18-5HasElementaryAbelianFactorGroup 39.18-6HasIndeterminateName 66.1-4HasParent 31.7-1HasseDiagramBinaryRelation 33.4-4HeadPcElementByNumber 45.5-12HELP_ADD_BOOK 84.1-1HELP_REMOVE_BOOK 84.1-2HELP_VIEWER_INFO 84.4-1HenselBound 66.12-3HermiteNormalFormIntegerMat 25.2-4HermiteNormalFormIntegerMatTransform 25.2-5HeuristicCancelPolynomials 66.24-3HexStringInt 27.6-8HighestWeightModule 64.14-5HMSMSec 27.9-7Hom 61.10-5HomeEnumerator 41.12-5HomomorphismQuotientSemigroup 51.6-2HomomorphismTransformationSemigroup 51.3-3Hypothenuse 19.2-1Ideal 56.2-1IdealByGenerators 56.2-4IdealNC 56.2-2Idempotents 35.4-6IdempotentsTom 70.7-8IdempotentsTomInfo 70.7-8IdentificationOfConjugacyClasses 71.6-3Identifier, for character tables 71.9-8Identifier, for tables of marks 70.7-9Identity 31.10-2IdentityBinaryRelation, for a degree 33.1-3IdentityBinaryRelation, for a domain 33.1-3IdentityFromSCTable 62.4-7IdentityMapping 32.2-9IdentityMat 24.5-1IdentityTransformation 54.1-4IdFunc 5.3-4IdGap3SolvableGroup 50.7-7IdGroup 50.7-5IdSmallGroup 50.7-5IdsOfAllSmallGroups 50.7-6if statement 4.17Image, for Frobenius automorphisms 59.4-1Image, set of images of a collection under a mapping 32.4-6Image, set of images of the source of a general mapping 32.4-6Image, unique image of an element under a mapping 32.4-6ImageElm 32.4-5ImageListOfTransformation 54.1-7Images, set of images of a collection under a mapping 32.4-7Images, set of images of an element under a mapping 32.4-7Images, set of images of the source of a general mapping 32.4-7ImagesElm 32.4-3ImageSetOfTransformation 54.1-8ImagesRepresentative 32.4-2ImagesSet 32.4-4ImagesSmallestGenerators 40.3-5ImagesSource 32.4-1ImaginaryPart 18.5-2ImfInvariants 50.12-3ImfMatrixGroup 50.12-4ImfNumberQClasses 50.12-1ImfNumberQQClasses 50.12-1ImfNumberZClasses 50.12-1Immutable 12.6-3ImmutableBasis 61.8-4ImmutableMatrix 24.14-1in, for lists 21.8-1in, operation for 30.6\in, operation for testing membership 30.6IncreaseInterval 19.2-4IndependentGeneratorExponents 39.22-6IndependentGeneratorsOfAbelianGroup 39.22-5Indeterminate, for a family and a number 66.1-1Indeterminate, for a ring (and a name, and an exclusion list) 66.1-1Indeterminate, for a ring (and a number) 66.1-1IndeterminateName 66.1-4Indeterminateness 73.5-13IndeterminateNumberOfLaurentPolynomial 66.13-3IndeterminateNumberOfUnivariateRationalFunction 66.1-2IndeterminateOfUnivariateRationalFunction 66.1-3IndeterminatesOfFunctionField 66.15-2IndeterminatesOfPolynomialRing 66.15-2Index, for a group and its subgroup 39.3-2Index, for two character tables 71.12-1IndexInWholeGroup 39.3-3IndexNC, for a group and its subgroup 39.3-2Indicator 71.12-5IndicatorOp 71.12-5IndicesCentralNormalSteps 45.11-7IndicesChiefNormalSteps 45.11-15IndicesEANormalSteps 45.11-3IndicesInvolutaryGenerators 47.6-9IndicesNormalSteps 45.11-17IndicesOfAdjointBasis 62.9-6IndicesPCentralNormalStepsPGroup 45.11-11IndicesStabChain 43.10-7Indirected 73.5-4InducedAutomorphism 40.7-6InducedClassFunction, for a given monomorphism 72.9-3InducedClassFunction, for a supergroup 72.9-3InducedClassFunction, for the character table of a supergroup 72.9-3InducedClassFunctions 72.9-4InducedClassFunctionsByFusionMap 72.9-5InducedCyclic 72.9-6InducedPcgs 45.7-4InducedPcgsByGenerators 45.7-5InducedPcgsByGeneratorsNC 45.7-5InducedPcgsByPcSequence 45.7-2InducedPcgsByPcSequenceAndGenerators 45.7-6InducedPcgsByPcSequenceNC 45.7-2InducedPcgsWrtFamilyPcgs 46.1-3InducedPcgsWrtSpecialPcgs 45.13-8Inequalities 72.14-5InertiaSubgroup 72.8-13Inf 19.2-4infinity 18.2-1Info 7.4-5InfoAlgebra 62.1-1InfoAttributes 13.6-4InfoBckt 43.12-4InfoCharacterTable 71.4-2InfoCoh 39.23-5InfoComplement 39.11-7InfoCoset 39.9-6InfoFpGroup 47.1-3InfoGroebner 66.18-4InfoGroup 39.2-8InfoLattice 39.20-9InfoLevel 7.4-4InfoMatrix 24.1-1InfoMonomial 75.1-1InfoNumtheor 15.1-1InfoOptions 8.1-7InfoPackageLoading 76.2-4InfoPcSubgroup 39.21-6InfoPoly 66.5-8InfoText 71.9-9InfoTom 70.6-1InfoWarning 7.4-7Init 14.7-3InitFusion 73.7-1InitPowerMap 73.6-1InjectionZeroMagma 35.2-12InnerAutomorphism 40.6-3InnerAutomorphismNC 40.6-3InnerAutomorphismsAutomorphismGroup 40.7-5InParentFOA 85.2-1InputFromUser 10.6-3InputLogTo, for a filename 9.7-5InputLogTo, for streams 10.4-6InputLogTo, stop logging input 9.7-5InputOutputLocalProcess 10.8-2InputTextFile 10.5-1InputTextNone 10.9-1InputTextString 10.7-1InputTextUser 10.6-1InsertTrivialStabilizer 43.11-8InstallAtExit 6.7-2InstallCharReadHookFunc 10.10-1InstalledPackageVersion 76.3-3InstallFactorMaintenance 31.13-5InstallFlushableValue 79.17-9InstallGlobalFunction 79.17-7InstallHandlingByNiceBasis 61.12-1InstallImmediateMethod 78.6-1InstallIsomorphismMaintenance 31.13-6InstallMethod 78.2-1InstallOtherMethod 78.2-2InstallSubsetMaintenance 31.13-4InstallTrueMethod 78.7-1InstallValue 79.17-9Int 14.2-3Int, for a FFE 59.2-3Int, for a cyclotomic 18.1-5Int, for strings 27.8-1IntChar 27.7-1Integers, global variable 14.1-1IntegralizedMat 25.4-4IntegratedStraightLineProgram 37.8-8IntermediateGroup 39.17-17IntermediateResultOfSLP 37.8-10IntermediateResultOfSLPWithoutOverwrite 37.8-11IntermediateResultsOfSLPWithoutOverwrite 37.8-12IntermediateSubgroups 39.17-18InterpolatedPolynomial 56.7-10IntersectBlist 22.4-3Intersection, for a list 30.5-2Intersection, for groups with pcgs 45.16Intersection, for various collections 30.5-2Intersection2 30.5-2IntersectionBlist, for a list 22.3-2IntersectionBlist, for various boolean lists 22.3-2IntersectionsTom 70.9-10IntersectSet 21.19-7IntFFE 59.2-3IntFFESymm, for a FFE 59.2-4IntFFESymm, for a vector of FFEs 59.2-4IntHexString 27.8-1IntScalarProducts 73.5-15IntVecFFE 59.2-5InvariantBilinearForm 44.5-1InvariantElementaryAbelianSeries 39.17-10InvariantLattice 44.6-6InvariantQuadraticForm 44.5-5InvariantSesquilinearForm 44.5-3InvariantSubgroupsElementaryAbelianGroup 39.21-2Inverse 31.10-8Inverse, for a pcword 46.2-2InverseAttr 31.10-8InverseClasses 71.9-10InverseGeneralMapping 32.2-3InverseImmutable 31.10-8InverseMap 73.5-2InverseMatMod 24.15-1InverseMutable 31.10-8InverseOp 31.10-8InverseRepresentative 43.10-10InverseSameMutability 31.10-8InverseSM 31.10-8Irr, for a character table 71.8-2Irr, for a group 71.8-2IrrBaumClausen 71.14-3IrrConlon 71.14-2IrrDixonSchneider 71.14-1IrreducibleDifferences 72.10-3IrreducibleModules 71.15-1IrreducibleModules, for groups with pcgs 45.16IrreducibleRepresentations 71.14-4IrreducibleRepresentationsDixon 71.14-5IrreducibleSolvableGroup 50.11-6IrreducibleSolvableGroupMS 50.11-1Is16BitsFamily 37.6-7Is32BitsFamily 37.6-7IsAbelian 35.4-9IsAbelian, for a character table 71.8-5IsAbelianNumberField 60.2-3IsAbelianNumberFieldPolynomialRing 66.15-6IsAbelianTom 70.8-1IsAdditiveElement 31.14-3IsAdditiveElementWithInverse 31.14-7IsAdditiveElementWithZero 31.14-5IsAdditiveGroup 55.1-6IsAdditiveGroupGeneralMapping 32.10-4IsAdditiveGroupHomomorphism 32.10-4IsAdditivelyCommutative 55.3-1IsAdditivelyCommutativeElement 31.15-2IsAdditivelyCommutativeElementCollColl 31.15-2IsAdditivelyCommutativeElementCollection 31.15-2IsAdditivelyCommutativeElementFamily 31.15-2IsAdditiveMagma 55.1-4IsAdditiveMagmaWithInverses 55.1-6IsAdditiveMagmaWithZero 55.1-5IsAlgebra 62.8-3IsAlgebraGeneralMapping 32.12-3IsAlgebraHomomorphism 32.12-3IsAlgebraicElement 67.2-1IsAlgebraicExtension 67.1-2IsAlgebraModuleElement 62.11-8IsAlgebraModuleElementCollection 62.11-8IsAlgebraModuleElementFamily 62.11-8IsAlgebraWithOne 62.8-4IsAlgebraWithOneGeneralMapping 32.12-4IsAlgebraWithOneHomomorphism 32.12-4IsAlmostSimple, for a character table 71.8-5IsAlmostSimpleGroup 39.15-11IsAlphaChar 27.4-4IsAlternatingGroup 43.4-3IsAnticommutative 56.4-6IsAntisymmetricBinaryRelation 33.2-4IsAssociated 56.5-3IsAssociative 35.4-7IsAssociativeElement 31.15-1IsAssociativeElementCollColl 31.15-1IsAssociativeElementCollection 31.15-1IsAssocWord 37.1-1IsAssocWordWithInverse 37.1-1IsAssocWordWithOne 37.1-1IsAttributeStoringRep 80.5IsAttributeStoringRep 80.6IsAutomorphismGroup 40.7-4IsBasicWreathLessThanOrEqual 37.3-4IsBasicWreathProductOrdering 34.4-12IsBasis 61.5-1IsBasisByNiceBasis 61.11-5IsBasisOfAlgebraModuleElementSpace 62.11-14IsBergerCondition, for a character 75.2-3IsBergerCondition, for a group 75.2-3IsBijective 32.3-6IsBinaryRelation 33.1-1IsBinaryRelation, same as IsEndoGeneralMapping 33.IsBLetterAssocWordRep 37.6-3IsBLetterWordsFamily 37.6-4IsBlist 22.1-1IsBlistRep 22.5-1IsBool 20.1-1IsBound, for a global variable 4.8-1IsBound, for a list position 21.5-1IsBound, for a record component 29.6-1IsBound\. 29.7-3IsBound\[\] 21.2-1IsBoundElmWPObj 86.2-1IsBoundGlobal 4.9-5IsBrauerTable 71.4-1IsBravaisGroup 44.6-10IsBuiltFromAdditiveMagmaWithInverses 38.3-1IsBuiltFromGroup 38.3-1IsBuiltFromMagma 38.3-1IsBuiltFromMagmaWithInverses 38.3-1IsBuiltFromMagmaWithOne 38.3-1IsBuiltFromSemigroup 38.3-1IsCanonicalBasis 61.7-1IsCanonicalBasisFullMatrixModule 61.9-10IsCanonicalBasisFullRowModule 61.9-9IsCanonicalNiceMonomorphism 40.5-4IsCanonicalPcgs 45.8-1IsCentral 35.4-8IsCentralFactor 39.24-7IsChar 27.1-1IsCharacter 72.8-1IsCharacteristicSubgroup 39.3-7IsCharacterTable 71.4-1IsCharacterTableInProgress 71.4-1IsCharCollection 27.1-1IsCheapConwayPolynomial 59.5-2IsClassFunction 72.1-1IsClassFusionOfNormalSubgroup 71.12-4IsClosedStream 10.1-2IsCochain 64.12-1IsCochainCollection 64.12-1IsCollection 30.1-1IsCollectionFamily 30.2-2IsCommutative 35.4-9IsCommutativeElement 31.15-3IsCommutativeElementCollColl 31.15-3IsCommutativeElementCollection 31.15-3IsComponentObjectRep 80.6IsCompositionMappingRep 32.2-6IsConfluent, for a rewriting system 38.1-5IsConfluent, for an algebra with canonical rewriting system 38.1-5IsConfluent, for pc groups 46.4-7IsConjugacyClassSubgroupsByStabilizerRep 39.19-2IsConjugacyClassSubgroupsRep 39.19-2IsConjugate, for a group and two elements 39.10-9IsConjugate, for a group and two groups 39.10-9IsConjugatorAutomorphism 40.6-4IsConjugatorIsomorphism 40.6-4IsConstantRationalFunction 66.4-11IsConstantTimeAccessGeneralMapping 32.13-2IsConstantTimeAccessList 21.1-6IsContainedInSpan 61.8-5IsCopyable 12.6-1IsCyc 18.1-3IsCyclic 39.15-1IsCyclic, for a character table 71.8-5IsCyclicTom 70.8-1IsCyclotomic 18.1-3IsCyclotomicField 60.2-4IsCyclotomicMatrixGroup 44.6-1IsDenseList 21.1-2IsDiagonalMat 24.4-8IsDictionary 28.3-2IsDigitChar 27.4-1IsDirectory 9.3-1IsDirectoryPath 9.6-5IsDirectProductElement 32.1-1IsDisjoint 19.2-4IsDistributive 56.4-5IsDivisionRing 58.1-1IsDomain 31.9-1IsDoneIterator 30.8-4IsDoubleCoset, operation 39.9-4IsDuplicateFree 21.17-2IsDuplicateFreeList 21.17-2IsDxLargeGroup 71.17-8IsElementaryAbelian 39.15-2IsElementaryAbelian, for a character table 71.8-5IsElementOfFpMonoid 53.1-6IsElementOfFpSemigroup 53.1-5IsElementOfFreeMagmaRing 65.2-2IsElementOfFreeMagmaRingCollection 65.2-2IsElementOfFreeMagmaRingFamily 65.2-3IsElementOfMagmaRingModuloRelations 65.4-1IsElementOfMagmaRingModuloRelationsCollection 65.4-1IsElementOfMagmaRingModuloRelationsFamily 65.4-2IsElementOfMagmaRingModuloSpanOfZeroFamily 65.5-1IsEmpty 30.4-1IsEmptyString 27.3-3IsEndOfStream 10.3-7IsEndoGeneralMapping 32.13-3IsEndoGeneralMapping, same as IsBinaryRelation 33.IsEqualSet 21.19-2IsEquivalenceClass 33.7-1IsEquivalenceRelation 33.2-8IsEuclideanRing 56.6-1IsEvenInt 14.2-4IsExecutableFile 9.6-4IsExistingFile 9.6-1IsExtAElement 31.14-1IsExternalOrbit 41.12-8IsExternalSet 41.12-1IsExternalSubset 41.12-6IsExtLElement 31.14-8IsExtRElement 31.14-9IsFamilyPcgs 46.1-2IsFFE 59.1-1IsFFECollColl 59.1-1IsFFECollCollColl 59.1-1IsFFECollection 59.1-1IsFFEMatrixGroup 44.2-5IsField 58.1-2IsFieldControlledByGaloisGroup 58.3IsFieldHomomorphism 32.12-5IsFinite 30.4-2IsFinite, float 19.2-5IsFinite, for a character table 71.8-5IsFiniteDimensional 57.3-4IsFiniteDimensional, for matrix algebras 62.8-7IsFiniteFieldPolynomialRing 66.15-5IsFinitelyGeneratedGroup 39.15-17IsFiniteOrderElement 31.15-4IsFiniteOrderElementCollColl 31.15-4IsFiniteOrderElementCollection 31.15-4IsFiniteOrdersPcgs 45.4-2IsFixedStabilizer 43.11-9IsFLMLOR 62.8-1IsFLMLORWithOne 62.8-2IsFpGroup 47.1-2IsFpMonoid 53.1-4IsFpSemigroup 53.1-3IsFreeGroup 37.2-2IsFreeLeftModule 57.3-1IsFreeMagmaRing 65.1-3IsFreeMagmaRingWithOne 65.1-4IsFromFpGroupGeneralMappingByImages 40.10-10IsFromFpGroupHomomorphismByImages 40.10-10IsFromFpGroupStdGensGeneralMappingByImages 40.10-11IsFromFpGroupStdGensHomomorphismByImages 40.10-11IsFullHomModule 61.10-7IsFullMatrixModule 57.3-10IsFullRowModule 57.3-8IsFullSubgroupGLorSLRespectingBilinearForm 44.5-2IsFullSubgroupGLorSLRespectingQuadraticForm 44.5-6IsFullSubgroupGLorSLRespectingSesquilinearForm 44.5-4IsFullTransformationSemigroup 51.3-4IsFunction 5.4-1IsFunctionField 66.15-9IsGAPRandomSource 14.7-4IsGaussianIntegers 60.5-2IsGaussianRationals 60.1-3IsGaussianSpace 61.9-3IsGaussInt 18.1-14IsGaussRat 18.1-15IsGeneralizedDomain 31.9-1IsGeneralizedRowVector 21.12-1IsGeneralLinearGroup 44.4-1IsGeneralMapping 32.13-1IsGeneralMappingFamily 32.14-2IsGeneratorsOfStruct 31.3IsGL 44.4-1IsGlobalRandomSource 14.7-4IsGreensClass 51.7-3IsGreensDClass 51.7-3IsGreensDRelation 51.7-2IsGreensHClass 51.7-3IsGreensHRelation 51.7-2IsGreensJClass 51.7-3IsGreensJRelation 51.7-2IsGreensLClass 51.7-3IsGreensLessThanOrEqual 51.7-4IsGreensLRelation 51.7-2IsGreensRClass 51.7-3IsGreensRelation 51.7-2IsGreensRRelation 51.7-2IsGroup 39.2-7IsGroupGeneralMapping 32.9-4IsGroupGeneralMappingByAsGroupGeneralMappingByImages 40.10-3IsGroupGeneralMappingByImages 40.10-1IsGroupGeneralMappingByPcgs 40.10-7IsGroupHClass 51.7-11IsGroupHomomorphism 32.9-4IsGroupOfAutomorphisms 40.7-2IsGroupRing 65.1-5IsHandledByNiceBasis 61.11-6IsHandledByNiceMonomorphism 40.5-1IsHasseDiagram 33.2-7IsHomogeneousList 21.1-3IsIdempotent 31.10-7IsIdenticalObj 12.5-1IsIncomparableUnder 34.3-3IsInducedFromNormalSubgroup 75.3-4IsInducedPcgs 45.7-1IsInducedPcgsWrtSpecialPcgs 45.13-7IsInfBitsFamily 37.6-7IsInfiniteAbelianizationGroup 47.16-1IsInfiniteAbelianizationGroup, for groups 47.16-1IsInfinity 18.2-1IsInjective 32.3-4IsInnerAutomorphism 40.6-4IsInputOutputStream 10.8-1IsInputStream 10.1-3IsInputTextNone 10.1-5IsInputTextStream 10.1-4IsInt 14.2-1IsIntegerMatrixGroup 44.6-3IsIntegers 14.1-2IsIntegralBasis 61.7-2IsIntegralCyclotomic 18.1-4IsIntegralRing 56.4-1IsInternallyConsistent 12.8-3IsInternallyConsistent, for character tables 71.12-2IsInternallyConsistent, for tables of marks 70.9-1IsIrreducibleCharacter 72.8-3IsIrreducibleRingElement 56.5-7IsIterator 30.8-3IsJacobianElement 31.15-5IsJacobianElementCollColl 31.15-5IsJacobianElementCollection 31.15-5IsJacobianRing 56.4-8IsLaurentPolynomial 66.4-10IsLaurentPolynomialDefaultRep 66.21-7IsLDistributive 56.4-3IsLeftAlgebraModuleElement 62.11-9IsLeftAlgebraModuleElementCollection 62.11-9IsLeftIdeal 56.2-3IsLeftIdealInParent 56.2-3IsLeftModule 57.1-2IsLeftModuleGeneralMapping 32.11-2IsLeftModuleHomomorphism 32.11-2IsLeftOperatorAdditiveGroup 57.1-1IsLeftSemigroupIdeal 51.4-3IsLeftVectorSpace 61.1-1IsLessThanOrEqualUnder 34.3-8IsLessThanUnder 34.3-7IsLetterAssocWordRep 37.6-1IsLetterWordsFamily 37.6-2IsLexicographicallyLess 21.20-9IsLexOrderedFFE 59.1-3IsLieAbelian 64.5-1IsLieAlgebra 62.8-5IsLieMatrix 24.2-3IsLieNilpotent 64.5-2IsLieObject 64.1-2IsLieObjectCollection 64.1-2IsLieSolvable 64.5-3IsLinearMapping 32.11-3IsLinearMappingsModule 61.10-9IsList 21.1-1IsListDefault 21.12-3IsListOrCollection 30.3-1IsLogOrderedFFE 59.1-3IsLookupDictionary 28.3-3IsLowerAlphaChar 27.4-2IsLowerTriangularMat 24.4-10IsMagma 35.1-1IsMagmaHomomorphism 32.8-1IsMagmaRingModuloRelations 65.4-4IsMagmaRingModuloSpanOfZero 65.5-2IsMagmaRingObjDefaultRep 65.2-1IsMagmaWithInverses 35.1-4IsMagmaWithInversesIfNonzero 35.1-3IsMagmaWithOne 35.1-2IsMapping 32.3-3IsMatchingSublist 21.17-1IsMatrix 24.2-1IsMatrixGroup 44.1-1IsMatrixModule 57.3-7IsMatrixSpace 61.9-2IsMersenneTwister 14.7-4IsMinimalNonmonomial 75.5-1IsModuloPcgs 45.9-2IsMonoid 52.1-1IsMonomial, for a character table 71.8-5IsMonomial, for positive integers 75.4-3IsMonomialGroup 39.15-9IsMonomialMatrix 24.4-7IsMonomialNumber 75.4-3IsMonomialOrdering 66.17-1IsMultiplicativeElement 31.14-10IsMultiplicativeElementWithInverse 31.14-13IsMultiplicativeElementWithOne 31.14-11IsMultiplicativeElementWithZero 31.14-12IsMultiplicativeGeneralizedRowVector 21.12-2IsMultiplicativeZero 35.4-12IsMutable 12.6-2IsMutableBasis 61.8-1IsNaN 19.2-5IsNaturalAlternatingGroup 43.4-1IsNaturalGL 44.4-2IsNaturalGLnZ 44.6-4IsNaturalSL 44.4-4IsNaturalSLnZ 44.6-5IsNaturalSymmetricGroup 43.4-1IsNearAdditiveElement 31.14-2IsNearAdditiveElementWithInverse 31.14-6IsNearAdditiveElementWithZero 31.14-4IsNearAdditiveGroup 55.1-3IsNearAdditiveMagma 55.1-1IsNearAdditiveMagmaWithInverses 55.1-3IsNearAdditiveMagmaWithZero 55.1-2IsNearlyCharacterTable 71.4-1IsNearRingElement 31.14-15IsNearRingElementWithInverse 31.14-19IsNearRingElementWithOne 31.14-17IsNegRat 17.2-3IsNilpotent, for a character table 71.8-5IsNilpotent, for groups with pcgs 45.16IsNilpotentElement 64.9-5IsNilpotentGroup 39.15-3IsNilpotentTom 70.8-1IsNInfinity 19.2-5IsNonassocWord 36.1-3IsNonassocWordCollection 36.1-4IsNonassocWordWithOne 36.1-3IsNonassocWordWithOneCollection 36.1-4IsNonnegativeIntegers 14.1-2IsNonSPGeneralMapping 32.14-1IsNonTrivial 30.4-4IsNormal 39.3-6IsNormalBasis 61.7-3IsNotIdenticalObj 12.5-2IsNumberField 60.2-2IsObject 12.1-1IsOddInt 14.2-5IsomorphicSubgroups 40.9-5IsomorphismFpAlgebra 62.10-10IsomorphismFpGroup 47.11-1IsomorphismFpGroup, for subgroups of fp groups 47.12IsomorphismFpGroupByGenerators 47.11-2IsomorphismFpGroupByGeneratorsNC 47.11-2IsomorphismFpGroupByPcgs 46.3-2IsomorphismFpSemigroup 53.2-3IsomorphismGroups 40.9-1IsomorphismMatrixAlgebra 62.10-11IsomorphismPcGroup 46.5-2IsomorphismPermGroup 43.3-1IsomorphismPermGroup, for Imf matrix groups 50.12-5IsomorphismPermGroupImfGroup 50.12-6IsomorphismReesMatrixSemigroup 51.8-11IsomorphismRefinedPcGroup 46.4-8IsomorphismRepStruct 31.5IsomorphismSCAlgebra, for an algebra 62.10-12IsomorphismSCAlgebra, w.r.t. a given basis 62.10-12IsomorphismSimplifiedFpGroup 47.12-1IsomorphismSpecialPcGroup 46.5-3IsomorphismTransformationSemigroup 51.3-3IsomorphismTypeInfoFiniteSimpleGroup, for a character table 71.8-5IsomorphismTypeInfoFiniteSimpleGroup, for a group 39.15-12IsomorphismTypeInfoFiniteSimpleGroup, for a group order 39.15-12IsOne 31.10-5IsOperation 5.4-2IsOrdering 34.1-1IsOrderingOnFamilyOfAssocWords 34.4-1IsOrdinaryMatrix 24.2-2IsOrdinaryTable 71.4-1IsOutputStream 10.1-6IsOutputTextNone 10.1-8IsOutputTextStream 10.1-7IsPackageMarkedForLoading 76.3-7IsPadicExtensionNumber 68.2-3IsPadicExtensionNumberFamily 68.2-4IsParentPcgsFamilyPcgs 46.1-4IsPartialOrderBinaryRelation 33.2-6IsPcGroup 46.3-1IsPcGroupGeneralMappingByImages 40.10-8IsPcGroupHomomorphismByImages 40.10-8IsPcgs 45.2-2IsPcgsCentralSeries 45.11-5IsPcgsChiefSeries 45.11-13IsPcgsElementaryAbelianSeries 45.11-1IsPcgsPCentralSeriesPGroup 45.11-9IsPerfect, for a character table 71.8-5IsPerfectGroup 39.15-5IsPerfectTom 70.8-1IsPerm 42.1-1IsPermCollColl 42.1-2IsPermCollection 42.1-2IsPermGroup 43.1-1IsPermGroupGeneralMapping 40.10-5IsPermGroupGeneralMappingByImages 40.10-5IsPermGroupHomomorphism 40.10-5IsPermGroupHomomorphismByImages 40.10-5IsPGroup 39.15-19IsPInfinity 19.2-5IsPNilpotent 39.15-24IsPolycyclicGroup 39.15-7IsPolynomial 66.4-4IsPolynomialDefaultRep 66.21-5IsPolynomialFunction 66.4-1IsPolynomialFunctionsFamily 66.19-2IsPolynomialRing 66.15-4IsPosInt 14.2-2IsPositiveIntegers 14.1-2IsPosRat 17.2-2IsPreimagesByAsGroupGeneralMappingByImages 40.10-4IsPreOrderBinaryRelation 33.2-5IsPrime 56.5-8IsPrimeField 58.2-5IsPrimeInt 14.4-2IsPrimeOrdersPcgs 45.4-3IsPrimePowerInt 14.4-4IsPrimitive, for a group, an action domain, etc. 41.10-7IsPrimitive, for an external set 41.10-7IsPrimitiveCharacter 75.3-2IsPrimitivePolynomial 66.4-12IsPrimitiveRootMod 15.3-4IsProbablyPrimeInt 14.4-2IsPseudoCanonicalBasisFullHomModule 61.10-8IsPSolubleCharacterTable 71.12-3IsPSolubleCharacterTableOp 71.12-3IsPSolvable 39.15-23IsPSolvableCharacterTable 71.12-3IsPSolvableCharacterTableOp 71.12-3IsPurePadicNumber 68.1-5IsPurePadicNumberFamily 68.1-6IsQuasiPrimitive 75.3-3IsQuaternion 62.8-8IsQuaternionCollColl 62.8-8IsQuaternionCollection 62.8-8IsQuickPositionList 21.23-1IsQuotientSemigroup 51.6-1IsRandomSource 14.7-1IsRange 21.22-1IsRat 17.2-1IsRationalFunction 66.4-1IsRationalFunctionDefaultRep 66.21-1IsRationalFunctionsFamily 66.19-2IsRationalMatrixGroup 44.6-2IsRationals 17.1-1IsRationalsPolynomialRing 66.15-7IsRDistributive 56.4-4IsReadableFile 9.6-2IsReadOnlyGlobal 4.9-1IsRecord 29.1-1IsRecordCollColl 29.1-1IsRecordCollection 29.1-1IsRectangularTable 21.1-5IsReduced 38.1-7IsReductionOrdering 34.4-3IsReesCongruence 51.5-2IsReesCongruenceSemigroup 51.2-6IsReesMatrixSemigroup 51.8-3IsReesMatrixSemigroupElement 51.8-6IsReesZeroMatrixSemigroup 51.8-4IsReesZeroMatrixSemigroupElement 51.8-6IsReflexiveBinaryRelation 33.2-1IsRegular, for a group, an action domain, etc. 41.10-5IsRegular, for an external set 41.10-5IsRegularDClass 51.7-12IsRegularSemigroup 51.2-1IsRegularSemigroupElement 51.2-2IsRelativelySM, for a character 75.4-6IsRelativelySM, for a group 75.4-6IsRestrictedJacobianElement 31.15-5IsRestrictedJacobianElementCollColl 31.15-5IsRestrictedJacobianElementCollection 31.15-5IsRestrictedLieAlgebra 64.8-1IsRestrictedLieObject 64.1-2IsRestrictedLieObjectCollection 64.1-2IsRewritingSystem 38.1-1IsRightAlgebraModuleElement 62.11-10IsRightAlgebraModuleElementCollection 62.11-10IsRightCoset 39.7-4IsRightIdeal 56.2-3IsRightIdealInParent 56.2-3IsRightModule 57.1-7IsRightOperatorAdditiveGroup 57.1-6IsRightSemigroupIdeal 51.4-3IsRing 56.1-1IsRingElement 31.14-16IsRingElementWithInverse 31.14-20IsRingElementWithOne 31.14-18IsRingGeneralMapping 32.12-1IsRingHomomorphism 32.12-1IsRingWithOne 56.3-1IsRingWithOneGeneralMapping 32.12-2IsRingWithOneHomomorphism 32.12-2IsRootSystem 64.6-3IsRootSystemFromLieAlgebra 64.6-4IsRowModule 57.3-6IsRowSpace 61.9-1IsRowVector 23.1-1IsScalar 31.14-20IsSemiEchelonized 61.9-7IsSemigroup 51.1-1IsSemigroupCongruence 51.5-1IsSemigroupIdeal 51.4-3IsSemiRegular, for a group, an action domain, etc. 41.10-4IsSemiRegular, for an external set 41.10-4IsSet 21.17-4IsShortLexLessThanOrEqual 37.3-3IsShortLexOrdering 34.4-7IsSimple, for a character table 71.8-5IsSimpleAlgebra 62.8-6IsSimpleGroup 39.15-10IsSimpleSemigroup 51.2-3IsSingleValued 32.3-2IsSL 44.4-3IsSolvable, for a character table 71.8-5IsSolvableGroup 39.15-6IsSolvableTom 70.8-1IsSortedList 21.17-3IsSpecialLinearGroup 44.4-3IsSpecialPcgs 45.13-1IsSPGeneralMapping 32.14-1IsSporadicSimple, for a character table 71.8-5IsSSortedList 21.17-4IsStraightLineProgElm 37.9-1IsStraightLineProgram 37.8-1IsStream 10.1-1IsString 27.1-2IsStringRep 27.3-1IsStruct 31.6IsSubgroup 39.3-5IsSubgroupFpGroup 47.1-1IsSubgroupOfWholeGroupByQuotientRep 47.13-2IsSubgroupSL 44.4-5IsSubmonoidFpMonoid 53.1-2IsSubnormal 39.3-10IsSubnormallyMonomial, for a character 75.4-5IsSubnormallyMonomial, for a group 75.4-5IsSubsemigroupFpSemigroup 53.1-1IsSubset 30.5-1IsSubsetBlist 22.2-4IsSubsetLocallyFiniteGroup 39.15-18IsSubsetSet 21.19-3IsSubspacesVectorSpace 61.4-2IsSubstruct 31.8IsSupersolvable, for a character table 71.8-5IsSupersolvable, for groups with pcgs 45.16IsSupersolvableGroup 39.15-8IsSurjective 32.3-5IsSyllableAssocWordRep 37.6-5IsSyllableWordsFamily 37.6-6IsSymmetricBinaryRelation 33.2-2IsSymmetricGroup 43.4-2IsTable 21.1-4IsTableOfMarks 70.6-2IsTableOfMarksWithGens 70.10-3IsToPcGroupGeneralMappingByImages 40.10-9IsToPcGroupHomomorphismByImages 40.10-9IsToPermGroupGeneralMappingByImages 40.10-6IsToPermGroupHomomorphismByImages 40.10-6IsTotal 32.3-1IsTotalOrdering 34.3-2IsTransformation 54.1-1IsTransformationCollection 54.1-1IsTransformationMonoid 51.3-1IsTransformationSemigroup 51.3-1IsTransitive, for a character 72.8-15IsTransitive, for a group, an action domain, etc. 41.10-1IsTransitive, for an external set 41.10-1IsTransitiveBinaryRelation 33.2-3IsTranslationInvariantOrdering 34.4-2IsTrivial 30.4-3IsTwoSidedIdeal 56.2-3IsTwoSidedIdealInParent 56.2-3IsUEALatticeElement 64.14-1IsUEALatticeElementCollection 64.14-1IsUEALatticeElementFamily 64.14-1IsUniqueFactorizationRing 56.4-2IsUnit 56.5-1IsUnivariatePolynomial 66.4-8IsUnivariatePolynomialRing 66.16-2IsUnivariateRationalFunction 66.4-6IsUnknown 74.1-3IsUpperAlphaChar 27.4-3IsUpperTriangularMat 24.4-9IsValidIdentifier 4.6-1IsVector 31.14-14IsVectorSpace 61.1-1IsVirtualCharacter 72.8-2IsWeightLexOrdering 34.4-9IsWeightRepElement 64.14-4IsWeightRepElementCollection 64.14-4IsWeightRepElementFamily 64.14-4IsWellFoundedOrdering 34.3-1IsWeylGroup 64.7-1IsWholeFamily 30.4-5IsWLetterAssocWordRep 37.6-3IsWLetterWordsFamily 37.6-4IsWord 36.1-1IsWordCollection 36.1-2IsWordWithInverse 36.1-1IsWordWithOne 36.1-1IsWreathProductOrdering 34.4-14IsWritableFile 9.6-3IsXInfinity 19.2-5IsZero 31.10-6IsZeroGroup 51.2-5IsZeroSimpleSemigroup 51.2-4IsZeroSquaredElement 31.15-6IsZeroSquaredElementCollColl 31.15-6IsZeroSquaredElementCollection 31.15-6IsZeroSquaredRing 56.4-7IsZmodnZObj 14.5-4IsZmodnZObjNonprime 14.5-4IsZmodpZObj 14.5-4IsZmodpZObjLarge 14.5-4IsZmodpZObjSmall 14.5-4Iterated 21.20-27Iterator 30.8-1IteratorByBasis 61.6-6IteratorByFunctions 30.8-8IteratorList 30.8-6IteratorOfCartesianProduct, for a list of lists 21.20-17IteratorOfCartesianProduct, for several lists 21.20-17IteratorOfCombinations 16.2-2IteratorOfPartitions 16.2-19IteratorOfTuples 16.2-10IteratorSorted 30.8-2Jacobi 15.4-1JenningsLieAlgebra 64.8-4JenningsSeries 39.17-14JoinEquivalenceRelations 33.6-3JoinStringsWithSeparator 27.6-17JordanDecomposition 24.13-2KappaPerp 64.9-4KB_REW 53.6-2KernelOfAdditiveGeneralMapping 32.10-5KernelOfCharacter 72.8-9KernelOfMultiplicativeGeneralMapping 32.9-5KernelOfTransformation 54.1-10KeyDependentOperation 85.1-1KillingMatrix 64.9-3KnownAttributesOfObject 13.5-1KnownPropertiesOfObject 13.7-1KnownTruePropertiesOfObject 13.7-2KnowsDictionary 28.3-5KnowsHowToDecompose 39.25-7KnuthBendixRewritingSystem, for a monoid and a reduction ordering 53.6-3KnuthBendixRewritingSystem, for a semigroup and a reduction ordering 53.6-3KroneckerProduct 24.5-8KuKGenerators 49.4-4Lambda 15.2-3LargerQuotientBySubgroupAbelianization 47.14-7LargestElementGroup 39.22-2LargestElementStabChain 43.10-13LargestMovedPoint, for a list or collection of permutations 42.3-2LargestMovedPoint, for a permutation 42.3-2LargestUnknown 74.1-2last 6.1last2 6.1last3 6.1LastSystemError 9.1-1LaTeXStringDecompositionMatrix 71.11-5LatticeByCyclicExtension 39.21-1LatticeGeneratorsInUEA 64.14-2LatticeSubgroups 39.20-1LatticeSubgroupsByTom 70.3-3LaurentPolynomialByCoefficients 66.13-1LaurentPolynomialByExtRep 66.22-3LaurentPolynomialByExtRepNC 66.22-3LClassOfHClass 51.7-5Lcm, for (a ring and) a list of elements 56.7-6Lcm, for (a ring and) several elements 56.7-6LcmInt 14.3-6LcmOp 56.7-7LeadCoeffsIGS 45.7-7LeadingCoefficient 66.6-3LeadingCoefficientOfPolynomial 66.17-4LeadingExponentOfPcElement 45.5-5LeadingMonomial 66.6-4LeadingMonomialOfPolynomial 66.17-2LeadingTermOfPolynomial 66.17-3LeftActingAlgebra 62.11-11LeftActingDomain 57.1-11LeftActingRingOfIdeal 56.2-10LeftAlgebraModule 62.11-4LeftAlgebraModuleByGenerators 62.11-1LeftDerivations 64.2-6LeftIdeal 56.2-1LeftIdealByGenerators 56.2-5LeftIdealNC 56.2-2LeftModuleByGenerators 57.1-10LeftModuleByHomomorphismToMatAlg 62.11-17LeftModuleGeneralMappingByImages 61.10-1LeftModuleHomomorphismByImages 61.10-2LeftModuleHomomorphismByImagesNC 61.10-2LeftModuleHomomorphismByMatrix 61.10-3LeftQuotient 31.12-2LeftQuotient, for words 37.4LeftShiftRowVector 23.5-1Legendre 15.4-2Length 21.17-5Length, for a associative word 37.4-1LengthsTom 70.7-3LengthWPObj 86.2-1LenstraBase 60.3-2LessThanFunction 34.3-5LessThanOrEqualFunction 34.3-6LetterRepAssocWord 37.6-8LevelsOfGenerators 34.4-15LeviMalcevDecomposition, for Lie algebras 62.9-19LexicographicOrdering 34.4-5LGFirst 45.13-5LGLayers 45.13-4LGLength 45.13-6LGWeights 45.13-3LieAlgebra, for an associative algebra 64.2-3LieAlgebra, for field and generators 64.2-3LieAlgebraByStructureConstants 64.2-1LieBracket 31.12-4LieCenter 64.3-1LieCentralizer 64.3-2LieCentre 64.3-1LieCoboundaryOperator 64.12-5LieDerivedSeries 64.4-1LieDerivedSubalgebra 64.3-4LieFamily 64.1-3LieLowerCentralSeries 64.4-2LieNilRadical 64.3-5LieNormalizer 64.3-3LieObject 64.1-1LieSolvableRadical 64.3-6LieUpperCentralSeries 64.4-3LiftedInducedPcgs 45.10-4LiftedPcElement 45.10-3LinearAction 45.14-2LinearActionLayer 45.14-3LinearCharacters, for a character table 71.8-3LinearCharacters, for a group 71.8-3LinearCombination 61.6-4LinearCombinationPcgs 45.5-7LinearIndependentColumns 25.4-2LinearOperation 45.14-2LinearOperationLayer 45.14-3LinesOfStraightLineProgram 37.8-3List, for a collection 30.3-5List, for a list (and a function) 21.20-19ListBlist 22.2-2ListN 21.20-28ListOfDigits 14.2-11ListPerm 42.5-1ListStabChain 43.10-8ListWithIdenticalEntries 21.15-1ListX 21.21-1LLL 72.10-4LLLReducedBasis 25.5-1LLLReducedGramMat 25.5-2LoadDynamicModule 76.3-10LoadPackage 76.2-1local 4.23Log 19.2-1Log10 19.2-1Log1p 19.2-1Log2 19.2-1LogFFE 59.2-2LogInt 14.2-8LogMod 15.3-2LogModShanks 15.3-2LogPackageLoadingMessage 76.2-4LogTo, for a filename 9.7-4LogTo, for streams 10.4-5LogTo, stop logging 9.7-4LongestWeylWordPerm 64.7-5LookupDictionary 28.3-6LowercaseString 27.6-11LowerCentralSeriesOfGroup 39.17-11LowIndexSubgroupsFpGroup 47.10-1LowIndexSubgroupsFpGroupIterator 47.10-1Lucas 16.3-2Magma 35.2-1MagmaByGenerators 35.2-4MagmaByMultiplicationTable 35.3-1MagmaElement 35.3-4MagmaHomomorphismByFunctionNC 32.8-2MagmaRingModuloSpanOfZero 65.5-3MagmaWithInverses 35.2-3MagmaWithInversesByGenerators 35.2-6MagmaWithInversesByMultiplicationTable 35.3-3MagmaWithOne 35.2-2MagmaWithOneByGenerators 35.2-5MagmaWithOneByMultiplicationTable 35.3-2MakeConfluent 38.1-11MakeFloat 19.2-7MakeImmutable 12.6-4MakeReadOnlyGlobal 4.9-2MakeReadWriteGlobal 4.9-3MappedWord 36.3-1MappingByFunction, by function (and inverse function) between two domains 32.2-2MappingByFunction, by function and function that computes one preimage 32.2-2MappingGeneratorsImages 40.10-2MappingPermListList 42.5-3MarksTom 70.7-1MatAlgebra 62.5-4MatClassMultCoeffsCharTable 71.12-9MathieuGroup 50.1-10MatLieAlgebra 64.2-5MatrixAlgebra 62.5-4MatrixAutomorphisms 71.22-1MatrixByBlockMatrix 24.17-3MatrixLieAlgebra 64.2-5MatrixOfAction 62.11-15MatScalarProducts 72.8-6MatTom 70.7-10MaximalAbelianQuotient 39.18-4MaximalBlocks, for a group, an action domain, etc. 41.11-2MaximalBlocks, for an external set 41.11-2MaximalNormalSubgroups 39.19-9MaximalSubgroupClassReps 39.19-6MaximalSubgroups 39.19-7MaximalSubgroups, for groups with pcgs 45.16MaximalSubgroupsLattice 39.20-4MaximalSubgroupsTom 70.9-12Maximum, for a list 21.20-13Maximum, for various objects 21.20-13MaximumList 21.20-15MeetEquivalenceRelations 33.6-3MeetMaps 73.5-8MemoryUsage 12.8-4Mid 19.2-4MinimalElementCosetStabChain 43.10-12MinimalGeneratingSet 39.22-3MinimalGeneratingSet, for groups with pcgs 45.16MinimalNonmonomialGroup 75.5-2MinimalNormalSubgroups 39.19-10MinimalPolynomial 66.8-1MinimalPolynomial, over a field 58.3-2MinimalPolynomial, over a ring 66.8MinimalStabChain 43.8-5MinimalSupergroupsLattice 39.20-5MinimalSupergroupsTom 70.9-13MinimizedBombieriNorm 66.12-2Minimum, for a list 21.20-14Minimum, for various objects 21.20-14MinimumList 21.20-15MinusCharacter 73.6-5mod 4.13mod, arithmetic operators 4.13mod, for character tables 71.7mod, residue class rings 14.5ModuleByRestriction 62.11-21ModuleOfExtension 46.8-7ModuloPcgs 45.9-1MoebiusMu 15.5-3MoebiusTom 70.7-11MolienSeries 72.12-1MolienSeriesInfo 72.12-2MolienSeriesWithGivenDenominator 72.12-4Monoid, for a list 52.1-2Monoid, for various generators 52.1-2MonoidByGenerators 52.1-4MonoidByMultiplicationTable 52.1-10MonoidOfRewritingSystem 53.6-5MonomialComparisonFunction 66.17-5MonomialExtGrlexLess 66.17-14MonomialExtrepComparisonFun 66.17-6MonomialGrevlexOrdering 66.17-9MonomialGrlexOrdering 66.17-8MonomialLexOrdering 66.17-7MonomialTotalDegreeLess 77.4MorClassLoop 40.9-6MostFrequentGeneratorFpGroup 47.6-8MovedPoints, for a list or collection of permutations 42.3-3MovedPoints, for a permutation 42.3-3MTX 69.3-1MTX.BasesCompositionSeries 69.7-9MTX.BasesMaximalSubmodules 69.7-5MTX.BasesMinimalSubmodules 69.7-4MTX.BasesMinimalSupermodules 69.7-8MTX.BasesSubmodules 69.7-3MTX.BasisInOrbit 69.11-4MTX.BasisModuleEndomorphisms 69.9-2MTX.BasisModuleHomomorphisms 69.9-1MTX.BasisRadical 69.7-6MTX.BasisSocle 69.7-7MTX.CollectedFactors 69.7-11MTX.CompositionFactors 69.7-10MTX.DegreeSplittingField 69.5-3MTX.Dimension 69.4-2MTX.Distinguish 69.10-5MTX.Field 69.4-3MTX.Generators 69.4-1MTX.HomogeneousComponents 69.6-3MTX.Homomorphism 69.10-3MTX.Homomorphisms 69.10-4MTX.Indecomposition 69.6-2MTX.InducedAction 69.8-5MTX.InducedActionFactorMatrix 69.8-4MTX.InducedActionFactorModule 69.8-3MTX.InducedActionMatrix 69.8-4MTX.InducedActionMatrixNB 69.8-4MTX.InducedActionSubmodule 69.8-2MTX.InducedActionSubmoduleNB 69.8-2MTX.InvariantBilinearForm 69.11-1MTX.InvariantQuadraticForm 69.11-3MTX.InvariantSesquilinearForm 69.11-2MTX.IsAbsolutelyIrreducible 69.5-2MTX.IsEquivalent 69.10-1MTX.IsIndecomposable 69.6-1MTX.IsIrreducible 69.5-1MTX.IsomorphismIrred 69.10-2MTX.IsomorphismModules 69.9-3MTX.ModuleAutomorphisms 69.9-4MTX.NormedBasisAndBaseChange 69.8-1MTX.OrthogonalSign 69.11-5MTX.ProperSubmoduleBasis 69.7-2MTX.SubGModule 69.7-1MTX.SubmoduleGModule 69.7-1MultiplicationTable, for a list of elements 35.3-5MultiplicationTable, for a magma 35.3-5MultiplicativeNeutralElement 35.4-10MultiplicativeZero 35.4-11MultiplicativeZeroOp 31.10-4MultRowVector 23.4-3MutableBasis 61.8-2MutableBasisOfClosureUnderAction 62.9-11MutableBasisOfIdealInNonassociativeAlgebra 62.9-13MutableBasisOfNonassociativeAlgebra 62.9-12MutableIdentityMat 77.4MutableNullMat 77.4Name 12.8-2NameFunction 5.1-1NameRNam 29.7-1NamesFilter 13.2-2NamesGVars 4.9-8NamesLocalVariablesFunction 5.1-3NamesOfComponents 79.9-1NamesOfFusionSources 73.3-5NamesSystemGVars 4.9-9NamesUserGVars 4.9-10NaturalCharacter, for a group 72.7-2NaturalCharacter, for a homomorphism 72.7-2NaturalHomomorphismByGenerators 32.8-3NaturalHomomorphismByIdeal 56.8-4NaturalHomomorphismByIdeal, for an algebra and an ideal 62.10-7NaturalHomomorphismByNormalSubgroup 39.18-1NaturalHomomorphismByNormalSubgroupNC 39.18-1NaturalHomomorphismBySubAlgebraModule 62.11-22NaturalHomomorphismBySubspace 61.10-4NaturalHomomorphismOfLieAlgebraFromNilpotentGroup 64.8-6NearAdditiveGroup 55.2-3NearAdditiveGroupByGenerators 55.2-6NearAdditiveMagma 55.2-1NearAdditiveMagmaByGenerators 55.2-4NearAdditiveMagmaWithZero 55.2-2NearAdditiveMagmaWithZeroByGenerators 55.2-5NearlyCharacterTablesFamily 71.4-3NegativeRoots 64.6-8NegativeRootVectors 64.6-10NestingDepthA 21.12-4NestingDepthM 21.12-5NewAttribute 79.3-1NewAttribute, example 80.5NewCategory 79.1-1NewDictionary 28.2-1NewFamily 79.6-1NewFilter 79.4-1NewFloat 19.2-7NewInfoClass 7.4-1NewmanInfinityCriterion 47.16-2NewOperation 79.5-1NewProperty 79.3-2NewRepresentation 79.2-1NewRepresentation, example 80.6NewType 79.7-1NextIterator 30.8-5NextPrimeInt 14.4-5NF 60.1-2NiceAlgebraMonomorphism 62.10-9NiceBasis 61.11-4NiceBasisFiltersInfo 61.12-2NiceFreeLeftModule 61.11-1NiceFreeLeftModuleInfo 61.11-3NiceMonomorphism 40.5-2NiceMonomorphismAutomGroup 40.8-2NiceObject 40.5-3NiceVector 61.11-2NilpotencyClassOfGroup 39.15-4NilpotentQuotientOfFpLieAlgebra 64.11-2NK 18.4-5NOAUTO 76.2-1NonabelianExteriorSquare 39.24-5NonnegativeIntegers 14.1-1NonnegIntScalarProducts 73.5-15NonNilpotentElement 64.9-6Norm 58.3-4Norm, for a class function 72.8-7Norm, of character 72.8-7NormalBase 58.3-7NormalClosure 39.11-4NormalFormIntMat 25.2-9NormalIntersection 39.11-5NormalizedElementOfMagmaRingModuloRelations 65.4-3NormalizedWhitespace 27.6-15Normalizer, for a group and a group element 39.11-1Normalizer, for two groups 39.11-1NormalizerInGLnZ 44.6-7NormalizerInGLnZBravaisGroup 44.6-14NormalizersTom 70.9-4NormalizerTom 70.9-4NormalizeWhitespace 27.6-14NormalSeriesByPcgs 45.11-18NormalSubgroupClasses 71.23-3NormalSubgroupClassesInfo 71.23-1NormalSubgroups 39.19-8NormedRowVector 23.2-1NormedRowVectors 61.9-11NormedVectors 77.4not 20.4-3NrArrangements 16.2-5NrBasisVectors 61.8-3NrCombinations 16.2-3NrConjugacyClasses 39.10-5NrConjugacyClasses, for a character table 71.8-5NrConjugacyClassesGL 50.3-1NrConjugacyClassesGU 50.3-1NrConjugacyClassesPGL 50.3-1NrConjugacyClassesPGU 50.3-1NrConjugacyClassesPSL 50.3-1NrConjugacyClassesPSU 50.3-1NrConjugacyClassesSL 50.3-1NrConjugacyClassesSLIsogeneous 50.3-1NrConjugacyClassesSU 50.3-1NrConjugacyClassesSUIsogeneous 50.3-1NrDerangements 16.2-15NrInputsOfStraightLineProgram 37.8-4NrMovedPoints, for a list or collection of permutations 42.3-4NrMovedPoints, for a permutation 42.3-4NrOrderedPartitions 16.2-22NrPartitions 16.2-20NrPartitionsSet 16.2-17NrPartitionTuples 16.2-31NrPermutationsList 16.2-13NrPolyhedralSubgroups 71.12-6NrPrimitiveGroups 50.9-2NrRestrictedPartitions 16.2-26NrSubsTom 70.7-2NrTransitiveGroups 50.6-2NrTuples 16.2-11NrUnorderedTuples 16.2-7NthRootsInGroup 39.10-10NullAlgebra 62.5-5NullMat 24.5-2NullspaceIntMat 25.1-1NullspaceMat 24.7-4NullspaceMatDestructive 24.7-5NullspaceModQ 24.15-2Number 21.20-21NumberArgumentsFunction 5.1-2NumberFFVector 23.3-2NumberIrreducibleSolvableGroups 50.11-2NumberPerfectGroups 50.8-4NumberPerfectLibraryGroups 50.8-5NumberSmallGroups 50.7-4NumbersString 27.6-19NumberSyllables 37.5-1NumeratorOfModuloPcgs 45.9-3NumeratorOfRationalFunction 66.4-2NumeratorRat 17.2-4ObjByExtRep 79.15-1ObjByExtRep, for creating a UEALattice element 64.14-3Objectify 79.8-1ObjectifyWithAttributes 79.8-2OCOneCocycles 39.23-3OctaveAlgebra 62.5-3od 4.20OldGeneratorsOfPresentation 48.9-2Omega 39.14-1Omega, construct an orthogonal group 50.2-8ONanScottType 43.5-1OnBreak 6.4-3OnBreakMessage 6.4-4One 31.10-2OneAttr 31.10-2OneCoboundaries 39.23-2OneCocycles, for a group and a pcgs 39.23-1OneCocycles, for generators and a group 39.23-1OneCocycles, for generators and a pcgs 39.23-1OneCocycles, for two groups 39.23-1OneFactorBound 66.12-4OneImmutable 31.10-2OneIrreducibleSolvableGroup 50.11-4OneLibraryGroup 50.5OneMutable 31.10-2OneOfPcgs 45.4-6OneOp 31.10-2OnePrimitiveGroup 50.5OneSameMutability 31.10-2OneSM 31.10-2OneSmallGroup 50.7-3OneTransitiveGroup 50.5OnIndeterminates, as a permutation action 41.2-13OnLeftInverse 41.2-3OnLines 41.2-12OnLines, example 50.2-1OnPairs 41.2-6OnPoints 41.2-1OnQuit 8.1-4OnRight 41.2-2OnSets 41.2-4OnSetsDisjointSets 41.2-8OnSetsSets 41.2-7OnSetsTuples 41.2-9OnSubspacesByCanonicalBasis 41.2-15OnSubspacesByCanonicalBasisConcatenations 41.2-15OnTuples 41.2-5OnTuplesSets 41.2-10OnTuplesTuples 41.2-11PCore, see PCore 39.11-3Operation 77.1OperationAlgebraHomomorphism, action on a free left module 62.10-8OperationAlgebraHomomorphism, action w.r.t. a basis of the module 62.10-8OperationHomomorphism 77.1or 20.4-1Orbit 41.4-1OrbitFusions 73.4-1OrbitishFO 85.3-2OrbitLength 41.4-4OrbitLengths, for a group, a set of seeds, etc. 41.4-5OrbitLengths, for an external set 41.4-5OrbitLengthsDomain, for a group and a set of seeds 41.4-6OrbitLengthsDomain, of an external set 41.4-6OrbitPerms 43.2-1OrbitPowerMaps 73.2-1Orbits, attribute 41.4-2Orbits, operation 41.4-2OrbitsDomain, for a group and an action domain 41.4-3OrbitsDomain, of an external set 41.4-3OrbitsishOperation 85.3-1OrbitsPerms 43.2-2OrbitStabChain 43.10-6OrbitStabilizer 41.5-1OrbitStabilizerAlgorithm 41.5-3Order 31.10-10Order, for a class function 72.4-3OrderedPartitions 16.2-21OrderingByLessThanFunctionNC 34.2-1OrderingByLessThanOrEqualFunctionNC 34.2-2OrderingOfRewritingSystem 38.1-3OrderingOnGenerators 34.4-4OrderingsFamily 34.1-2OrderMod 15.3-1OrderOfRewritingSystem 38.1-3OrdersClassRepresentatives 71.9-1OrdersTom 70.7-2Ordinal 27.8-2OrdinaryCharacterTable, for a character table 71.8-4OrdinaryCharacterTable, for a group 71.8-4OrthogonalComponents 72.11-4OrthogonalEmbeddings 25.6-1OrthogonalEmbeddingsSpecialDimension 72.10-6OutputLogTo, for a filename 9.7-6OutputLogTo, for streams 10.4-7OutputLogTo, stop logging output 9.7-6OutputTextFile 10.5-2OutputTextNone 10.9-2OutputTextString 10.7-2OutputTextUser 10.6-2Overlaps 19.2-4PACKAGE_DEBUG 76.2-4PACKAGE_ERROR 76.2-4PACKAGE_INFO 76.2-4PACKAGE_WARNING 76.2-4PackageVariablesInfo 76.3-13PadicCoefficients 25.4-3PadicExtensionNumberFamily 68.2-1PadicNumber, for a p-adic extension family and a list 68.2-2PadicNumber, for a p-adic extension family and a rational 68.2-2PadicNumber, for a pure p-adic numbers family and a list 68.2-2PadicNumber, for pure padics 68.1-2PadicValuation 56.5-10Pager 2.4-1PageSource 5.1-6Parametrized 73.5-5Parent 31.7-1ParentPcgs 45.7-3ParseRelators 47.2-3PartialFactorization 14.4-9PartialOrderByOrderingFunction 33.4-6PartialOrderOfHasseDiagram 33.2-11Partitions 16.2-18PartitionsGreatestEQ 16.2-24PartitionsGreatestLE 16.2-23PartitionsSet 16.2-16PartitionTuples 16.2-30PcElementByExponents 45.5-6PcElementByExponentsNC 45.5-6PCentralLieAlgebra 64.8-5PCentralNormalSeriesByPcgsPGroup 45.11-12PCentralSeries 39.17-13PcGroupCode 46.9-3PcGroupFpGroup 46.4-1PcGroupWithPcgs 46.5-1Pcgs 45.2-1Pcgs_OrbitStabilizer 45.15-2PcgsByPcSequence 45.3-1PcgsByPcSequenceNC 45.3-1PcgsCentralSeries 45.11-6PcgsChiefSeries 45.11-14PcgsElementaryAbelianSeries, for a group 45.11-2PcgsElementaryAbelianSeries, for a list of normal subgroups 45.11-2PcgsPCentralSeriesPGroup 45.11-10PClassPGroup 39.15-21PCore 39.11-3PcSeries 45.4-4PerfectGroup, for a pair [ order, index ] 50.8-2PerfectGroup, for group order (and index) 50.8-2PerfectIdentification 50.8-3PerfectResiduum 39.12-8Perform 21.20-11Permanent 16.4-1PermBounds 72.14-3PermCharInfo 72.13-1PermCharInfoRelative 72.13-2PermChars 72.14-1PermCharsTom, from a character table 70.11-2PermCharsTom, via fusion map 70.11-2PermComb 72.14-4PermLeftQuoTransformation 54.1-14PermList 42.5-2PermListList 21.20-12Permutation, for a group, an action domain, etc. 41.9-1Permutation, for an external set 41.9-1PermutationCharacter, for a group, an action domain, and a function 72.7-3PermutationCharacter, for two groups 72.7-3PermutationCycle 41.9-2PermutationGModule 69.2-1PermutationMat 24.5-5PermutationsFamily 42.1-3PermutationsList 16.2-12PermutationTom 70.5-2Permuted 21.20-18Permuted, as a permutation action 41.2-14Permuted, for a class function 72.4-2PGL 50.2-11PGU 50.2-13Phi 15.2-2PolynomialByExtRep 66.22-2PolynomialByExtRepNC 66.22-2PolynomialCoefficientsOfPolynomial 66.6-2PolynomialDivisionAlgorithm 66.17-13PolynomialModP 66.11-2PolynomialReducedRemainder 66.17-12PolynomialReduction 66.17-11PolynomialRing, for a ring and a list of indeterminate numbers 66.15-1PolynomialRing, for a ring and a list of indeterminates 66.15-1PolynomialRing, for a ring and a list of names (and an exclusion list) 66.15-1PolynomialRing, for a ring and a rank (and an exclusion list) 66.15-1POmega 50.2-16PopOptions 8.1-2Position 21.16-1PositionBound 21.16-9PositionCanonical 21.16-3PositionFirstComponent 21.16-13PositionNonZero 21.16-11PositionNot 21.16-10PositionNthOccurrence 21.16-4PositionProperty 21.16-7Positions 21.16-2PositionSet 21.16-6PositionsOp 21.16-2PositionSorted 21.16-5PositionSortedOp 21.16-5PositionsProperty 21.16-8PositionStream 10.3-8PositionSublist 21.16-12PositionWord 37.4-4PositiveIntegers 14.1-1PositiveRoots 64.6-7PositiveRootVectors 64.6-9PossibleClassFusions 73.3-6PossibleFusionsCharTableTom 70.11-1PossiblePowerMaps 73.1-2PowerMap 73.1-1PowerMapByComposition 73.1-4PowerMapOp 73.1-1PowerMapsAllowedBySymmetrizations 73.6-6PowerMod 56.7-9PowerModCoeffs 23.7-5PowerModInt 14.3-10PowerPartition 16.2-29PowerSubalgebraSeries 62.9-4PQuotient 47.14-1PrecisionFloat 19.2-3PrefrattiniSubgroup 39.12-7PrefrattiniSubgroup, for groups with pcgs 45.16PreImage, set of preimages of a collection under a general mapping 32.5-6PreImage, set of preimages of the range of a general mapping 32.5-6PreImage, unique preimage of an element under a general mapping 32.5-6PreImageElm 32.5-3PreImages, set of preimages of a collection under a general mapping 32.5-7PreImages, set of preimages of an elm under a general mapping 32.5-7PreImages, set of preimages of the range of a general mapping 32.5-7PreImagesElm 32.5-2PreimagesOfTransformation 54.1-11PreImagesRange 32.5-1PreImagesRepresentative 32.5-4PreImagesSet 32.5-5PresentationFpGroup 48.1-1PresentationNormalClosure 48.2-6PresentationNormalClosureRrs 48.2-5PresentationSubgroup 48.2-1PresentationSubgroupMtc 48.2-4PresentationSubgroupRrs, for a group and a coset table (and a string) 48.2-2PresentationSubgroupRrs, for two groups (and a string) 48.2-2PresentationViaCosetTable 48.1-5PrevPrimeInt 14.4-6PrimalityProof 14.4-3PrimaryGeneratorWords 48.2-3PrimeBlocks 71.11-1PrimeBlocksOp 71.11-1PrimeDivisors 14.4-8PrimeField 58.2-4PrimePGroup 39.15-20PrimePowersInt 14.4-11PrimeResidues 15.2-1Primes 14.4-1PRIMITIVE_INDICES_MAGMA 50.10-3PrimitiveElement 58.2-3PrimitiveGroup 50.9-1PrimitiveGroupsIterator 50.9-3PrimitiveIdentification 50.10-1PrimitiveIndexIrreducibleSolvableGroup 50.11-5PrimitivePolynomial 66.11-1PrimitiveRoot 59.3-3PrimitiveRootMod 15.3-3Print 6.3-4PrintAmbiguity 73.5-14PrintArray 24.5-10PrintCharacterTable 71.13-5PrintCSV 10.11-2PrintFactorsInt 14.4-10PrintFormattingStatus 10.4-8PrintObj 6.3-5PrintObj, for a character table 71.13-2PrintObj, for a ffe 59.6-1PrintObj, for a string 27.1-4PrintObj, for a table of marks 70.4-2PrintObj, for class functions 72.5-2PrintString 27.6-5PrintTo 9.7-3PrintTo, for streams 10.4-4ProbabilityShapes 66.11-4Process 11.1-1PROD_GF2MAT_GF2MAT_ADVANCED 24.16-2PROD_GF2MAT_GF2MAT_SIMPLE 24.16-1Product 21.20-25ProductCoeffs 23.7-2ProductOfStraightLinePrograms 37.8-13ProductSpace 62.9-3ProductX 21.21-4ProfileFunctions 7.7-4ProfileGlobalFunctions 7.7-1ProfileMethods 7.7-6ProfileOperations 7.7-2ProfileOperationsAndMethods 7.7-3ProjectedInducedPcgs 45.10-2ProjectedPcElement 45.10-1Projection, example for direct products 49.1-1Projection, example for semidirect products 49.2-1Projection, example for subdirect products 49.3-1Projection, example for wreath products 49.4-1Projection, for a domain 32.2-11Projection, for a domain and a positive integer 32.2-11Projection, for group products 49.6-2Projection, for two domains 32.2-11ProjectionMap 73.5-3ProjectiveActionHomomorphismMatrixGroup 44.3-2ProjectiveActionOnFullSpace 44.3-1ProjectiveGeneralLinearGroup 50.2-11ProjectiveGeneralUnitaryGroup 50.2-13ProjectiveOmega 50.2-16ProjectiveOrder 24.14-3ProjectiveSpecialLinearGroup 50.2-12ProjectiveSpecialUnitaryGroup 50.2-14ProjectiveSymplecticGroup 50.2-15PRump 39.12-12PseudoRandom 30.7-2PseudoRandom, for finitely presented groups 47.5-1PSL 50.2-12PSP 50.2-15PSp 50.2-15PSU 50.2-14PthPowerImage, for basis and element 64.8-3PthPowerImage, for element 64.8-3PthPowerImage, for element and integer 64.8-3PthPowerImages 64.8-2PurePadicNumberFamily 68.1-1PushOptions 8.1-1Quadratic 18.5-4QuaternionAlgebra 62.5-1QuaternionGroup 50.1-6QUIET 77.4QUIT 6.7-1QUIT, emergency quit 6.7-1QUITTING 6.7-2QuoInt 14.3-1Quotient 56.1-9QuotientFromSCTable 62.4-8QuotientMod 56.7-8QuotientPolynomialsExtRep 66.23-3QuotientRemainder 56.6-5QuotientSemigroupCongruence 51.6-3QuotientSemigroupHomomorphism 51.6-3QuotientSemigroupPreimage 51.6-3QuotRemLaurpols 66.5-6RadicalGroup 39.12-9RadicalOfAlgebra 62.9-16Random, for a list 14.7-2Random, for a list or collection 30.7-1Random, for a range of integers 14.7-2Random, for integers 14.2-12Random, for lower and upper bound 30.7-1Random, for rationals 17.2-7RandomBinaryRelationOnPoints 33.3-2RandomInvertibleMat 24.6-2RandomIsomorphismTest 46.10-1RandomList 30.7-3RandomMat 24.6-1RandomPrimitivePolynomial 59.5-3RandomSource 14.7-5RandomTransformation 54.1-5RandomUnimodularMat 24.6-3Range, of a general mapping 32.3-7RankAction, for a group, an action domain, etc. 41.10-3RankAction, for an external set 41.10-3RankFilter 13.2-1RankMat 24.7-1RankOfTransformation 54.1-9RankPGroup 39.15-22Rat 17.2-6Rat, for floats 19.2-8Rat, for strings 27.8-1RationalClass 39.10-6RationalClasses 39.10-7RationalFunctionByExtRep 66.22-1RationalFunctionByExtRepNC 66.22-1RationalFunctionByExtRepWithCancellation 66.24-1RationalFunctionsFamily 66.19-1RationalizedMat 18.5-6Rationals 17.1-1RClassOfHClass 51.7-5Read 9.7-1Read, for streams 10.3-1ReadAll 10.3-6ReadAllLine 10.8-3ReadAsFunction 9.7-2ReadAsFunction, for streams 10.3-2ReadByte 10.3-4ReadCommandLineHistory 6.9-3ReadCSV 10.11-1ReadLine 10.3-5ReadPackage 76.3-1ReadPkg 77.2ReadTest 7.9-1ReadTest, for streams 10.3-3RealClasses 71.9-11RealizableBrauerCharacters 72.15-4RealPart 18.5-2RecNames 29.1-2RedispatchOnCondition 78.5-1ReduceCoeffs 23.7-3ReduceCoeffsMod 23.7-4ReducedAdditiveInverse 38.2-1ReducedCharacters 72.10-2ReducedClassFunctions 72.10-1ReducedComm 38.2-1ReducedConfluentRewritingSystem 53.6-1ReducedConjugate 38.2-1ReducedDifference 38.2-1ReducedForm 38.1-4ReducedGroebnerBasis, for a list and a monomial ordering 66.18-2ReducedGroebnerBasis, for an ideal and a monomial ordering 66.18-2ReducedInverse 38.2-1ReducedLeftQuotient 38.2-1ReducedOne 38.2-1ReducedPcElement 45.5-10ReducedPower 38.2-1ReducedProduct 38.2-1ReducedQuotient 38.2-1ReducedScalarProduct 38.2-1ReducedSum 38.2-1ReducedZero 38.2-1ReduceRules 38.1-8ReduceStabChain 43.11-5Ree 50.1-12ReeGroup 50.1-12ReesCongruenceOfSemigroupIdeal 51.4-2ReesMatrixSemigroup 51.8-1ReesMatrixSemigroupElement 51.8-5ReesZeroMatrixSemigroup 51.8-2ReesZeroMatrixSemigroupElement 51.8-5ReesZeroMatrixSemigroupElementIsZero 51.8-9RefinedPcGroup 46.4-9ReflectionMat 24.5-9ReflexiveClosureBinaryRelation 33.4-1RegularActionHomomorphism 41.8-2RegularModule 71.15-3RelationsOfFpSemigroup 53.4-5RelativeBasis 61.5-4RelativeBasisNC 61.5-4RelativeDiameter 19.2-4RelativeOrderOfPcElement 45.5-1RelativeOrders 45.4-1RelativeOrders, of a pcgs 45.4-1RelatorsOfFpGroup 47.4-3RemInt 14.3-3Remove 21.4-3RemoveCharacters 27.6-16RemoveFile 9.7-8RemoveOuterCoeffs 23.5-4RemoveRelator 48.5-4RemoveSet 21.19-5RemoveStabChain 43.11-6repeat loop 4.19ReplacedString 27.6-13RepresentationsOfObject 13.4-1Representative 30.4-7RepresentativeAction 41.6-1RepresentativeLinearOperation 62.10-13RepresentativeOperation 77.1RepresentativesContainedRightCosets 39.9-2RepresentativesFusions 73.4-2RepresentativeSmallest 30.4-8RepresentativesMinimalBlocks, for a group, an action domain, etc. 41.11-3RepresentativesMinimalBlocks, for an external set 41.11-3RepresentativesPerfectSubgroups 39.20-6RepresentativesPowerMaps 73.2-2RepresentativesSimpleSubgroups 39.20-6RepresentativeTom 70.10-4RepresentativeTomByGenerators 70.10-4RepresentativeTomByGeneratorsNC 70.10-4RequirePackage 77.2Reread 9.7-9REREADING 9.7-9RereadPackage 76.3-1RereadPkg 77.2Reset 14.7-3ResetFilterObj 79.4-3ResetOptionsStack 8.1-3RespectsAddition 32.10-1RespectsAdditiveInverses 32.10-2RespectsInverses 32.9-3RespectsMultiplication 32.9-1RespectsOne 32.9-2RespectsScalarMultiplication 32.11-1RespectsZero 32.10-3RestrictedClassFunction 72.9-1RestrictedClassFunctions 72.9-2RestrictedLieAlgebraByStructureConstants 64.2-2RestrictedMapping 32.2-12RestrictedPartitions 16.2-25RestrictedPerm 42.5-4RestrictedPermNC 42.5-4RestrictedTransformation 54.1-12RestrictOutputsOfSLP 37.8-9Resultant 66.6-7ResultOfStraightLineProgram 37.8-5return 6.4-2return, no value 4.24return, with value 4.24ReturnFail 5.3-3ReturnFalse 5.3-2ReturnTrue 5.3-1Reversed 21.20-7RewindStream 10.3-9RewriteWord 47.9-4RightActingAlgebra 62.11-12RightActingRingOfIdeal 56.2-10RightAlgebraModule 62.11-5RightAlgebraModuleByGenerators 62.11-2RightCoset 39.7-1RightCosets 39.7-2RightCosetsNC 39.7-2RightDerivations 64.2-6RightIdeal 56.2-1RightIdealByGenerators 56.2-6RightIdealNC 56.2-2RightModuleByHomomorphismToMatAlg 62.11-18RightShiftRowVector 23.5-2RightTransversal 39.8-1Ring, for a collection 56.1-2Ring, for ring elements 56.1-2RingByGenerators 56.1-4RingGeneralMappingByImages 56.8-1RingHomomorphismByImages 56.8-2RingHomomorphismByImagesNC 56.8-3RingWithOne, for a collection 56.3-2RingWithOne, for ring elements 56.3-2RingWithOneByGenerators 56.3-3RNamObj, for a positive integer 29.7-2RNamObj, for a string 29.7-2RootInt 14.2-9RootMod 15.4-3RootOfDefiningPolynomial 58.2-8RootsMod 15.4-4RootsOfPolynomial 66.5-4RootsOfUPol 66.5-5RootsUnityMod 15.4-5RootSystem 64.6-5Round 19.2-1RoundCyc 18.1-9RowIndexOfReesMatrixSemigroupElement 51.8-8RowIndexOfReesZeroMatrixSemigroupElement 51.8-8RREF 24.7-2Rules 38.1-2Runtime 7.6-2Runtimes 7.6-1SameBlock 71.11-2SandwichMatrixOfReesMatrixSemigroup 51.8-7SandwichMatrixOfReesZeroMatrixSemigroup 51.8-7SaveCommandLineHistory 6.9-3SaveOnExitFile 6.7-3SaveWorkspace 3.3-1ScalarProduct, for characters 72.8-5SchurCover 39.24-2SchurCoverOfSymmetricGroup 39.24-10Sec 19.2-1Sech 19.2-1SecHMSM 27.9-8SecondsDMYhms 27.9-10SeekPositionStream 10.3-10SemidirectProduct, for a group of automorphisms and a group 49.2-1SemidirectProduct, for acting group, action, and a group 49.2-1SemiEchelonBasis 61.9-8SemiEchelonBasisNC 61.9-8SemiEchelonMat 24.10-1SemiEchelonMatDestructive 24.10-2SemiEchelonMats 24.10-4SemiEchelonMatsDestructive 24.10-5SemiEchelonMatTransformation 24.10-3Semigroup, for a list 51.1-2Semigroup, for various generators 51.1-2SemigroupByGenerators 51.1-4SemigroupByMultiplicationTable 51.1-9SemigroupIdealByGenerators 51.4-1SemigroupOfRewritingSystem 53.6-4SemiSimpleType 64.6-1Set 30.3-7SetAssertionLevel 7.5-1SetCommutator 46.4-4SetConjugate 46.4-3SetCrystGroupDefaultAction 44.7-2SetCyclotomicsLimit 18.6-1SetDefaultInfoOutput 7.4-6SetElmWPObj 86.2-1SetEntrySCTable 62.4-4SetFilterObj 79.4-2SetFloats 19.2-9SetGasmanMessageStatus 7.11-2SetHelpViewer 2.3-1SetIndeterminateName 66.1-4SetInfoHandler 7.4-6SetInfoLevel 7.4-3SetInfoOutput 7.4-6SetName 12.8-1SetNameObject 6.3-7SetPackagePath 76.2-2SetParent 31.7-1SetPower 46.4-5SetPrintFormattingStatus 10.4-8SetRecursionTrapInterval 7.10-1SetReducedMultiplication 47.3-4Setter 13.6-2SetUserPreference 3.2-3SetX 21.21-2ShallowCopy 12.7-1ShallowCopy, for lists 21.7ShiftedCoeffs 23.7-6ShiftedPadicNumber 68.1-4ShortestVectors 25.6-2ShortLexOrdering 34.4-6ShowAdditionTable 55.4-2ShowArgument 7.1-2ShowArguments 7.1-1ShowDetails 7.1-3ShowGcd 56.7-5ShowImpliedFilters 13.2-3ShowMethods 7.1-4ShowMultiplicationTable 55.4-2ShowOtherMethods 7.1-5ShowPackageVariables 76.3-13ShowUserPreferences 3.2-3ShrinkAllocationPlist 21.9-1ShrinkAllocationString 27.3-4ShrinkRowVector 23.5-3Shuffle 21.20-8SiftedPcElement 45.5-8SiftedPermutation 43.10-11SiftedVector 61.9-12Sigma 15.5-1SigmaL 50.2-10SignFloat 19.2-1SignInt 14.2-7SignPartition 16.2-27SignPerm 42.4-1SimpleGroup 39.15-13SimpleGroupsIterator 39.15-14SimpleLieAlgebra 64.2-7SimpleSystem 64.6-11SimplifiedFpGroup 48.1-6SimplifyPresentation 48.6-2SimsNo 50.10-2SimultaneousEigenvalues 24.14-4Sin 19.2-1SinCos 19.2-1SingleCollector 46.4-2Sinh 19.2-1SIntChar 27.7-3Size 30.4-6Size, for a character table 71.8-5Size, for groups with pcgs 45.16SizeBlist 22.2-3SizeConsiderFunction 39.21-4SizeNumbersPerfectGroups 50.8-6SizeOfFieldOfDefinition 72.15-3SizesCentralisers 71.9-2SizesCentralizers 71.9-2SizesConjugacyClasses 71.9-3SizeScreen 6.12-1SizesPerfectGroups 50.8-1SizeStabChain 43.10-3SL, for dimension and a field size 50.2-2SL, for dimension and a ring 50.2-2SlotUsagePattern 37.8-14SmallerDegreePermutationRepresentation 43.3-2SmallestGeneratorPerm 42.2-3SmallestMovedPoint, for a list or collection of permutations 42.3-1SmallestMovedPoint, for a permutation 42.3-1SmallestRootInt 14.2-10SmallGeneratingSet 39.22-4SmallGroup, for a pair [ order, index ] 50.7-1SmallGroup, for group order and index 50.7-1SmallGroupsInformation 50.7-8SmallSimpleGroup 39.15-15SmithNormalFormIntegerMat 25.2-6SmithNormalFormIntegerMatTransforms 25.2-7SMTX.AbsoluteIrreducibilityTest 69.12-8SMTX.AlgEl 69.13-2SMTX.AlgElCharPol 69.13-4SMTX.AlgElCharPolFac 69.13-5SMTX.AlgElMat 69.13-3SMTX.AlgElNullspaceDimension 69.13-7SMTX.AlgElNullspaceVec 69.13-6SMTX.CentMat 69.13-8SMTX.CentMatMinPoly 69.13-9SMTX.CompleteBasis 69.12-11SMTX.Getter 69.12-6SMTX.GoodElementGModule 69.12-2SMTX.IrreducibilityTest 69.12-7SMTX.MatrixSum 69.12-10SMTX.MinimalSubGModule 69.12-9SMTX.MinimalSubGModules 69.12-4SMTX.RandomIrreducibleSubGModule 69.12-1SMTX.Setter 69.12-5SMTX.SortHomGModule 69.12-3SMTX.Subbasis 69.13-1SO 50.2-7Socle 39.12-10SocleTypePrimitiveGroup 43.5-2SolutionIntMat 25.1-2SolutionMat 24.7-6SolutionMatDestructive 24.7-7SolutionNullspaceIntMat 25.1-3SolvableQuotient, for a f.p. group and a list of primes 47.14-5SolvableQuotient, for a f.p. group and a list of tuples 47.14-5SolvableQuotient, for a f.p. group and a size 47.14-5Sort 21.18-1SortBy 21.18-1SortedCharacters 71.21-2SortedCharacterTable, relative to the table of a factor group 71.21-4SortedCharacterTable, w.r.t. a normal subgroup 71.21-4SortedCharacterTable, w.r.t. a series of normal subgroups 71.21-4SortedList 30.3-6SortedSparseActionHomomorphism 41.7-3SortedTom 70.5-1Sortex 21.18-3SortingPerm 21.18-4SortParallel 21.18-2Source 32.3-8SourceOfIsoclinicTable 71.20-4SP, for dimension and a ring 50.2-5Sp, for dimension and a ring 50.2-5SP, for dimension and field size 50.2-5Sp, for dimension and field size 50.2-5SparseActionHomomorphism 41.7-3SparseCartanMatrix 64.7-2SparseHashTable 28.7-1SparseIntKey 28.5-2SpecialLinearGroup, for dimension and a field size 50.2-2SpecialLinearGroup, for dimension and a ring 50.2-2SpecialOrthogonalGroup 50.2-7SpecialPcgs, for a group 45.13-2SpecialPcgs, for a pcgs 45.13-2SpecialSemilinearGroup 50.2-10SpecialUnitaryGroup 50.2-4SplitCharacters 71.17-7SplitExtension 46.8-6SplitExtensions 46.8-10SplitString 27.6-12SplittingField 66.4-13SQ, synonym of SolvableQuotient 47.14-5Sqrt 31.12-5Square 19.2-1SquareRoots 35.4-13SSortedList 30.3-7StabChain, for a group (and a record) 43.8-1StabChain, for a group and a base 43.8-1StabChainBaseStrongGenerators 43.8-4StabChainImmutable 43.8-1StabChainMutable, for a group 43.8-1StabChainMutable, for a homomorphism 43.8-1StabChainOp 43.8-1StabChainOptions 43.8-2Stabilizer 41.5-2StabilizerOfExternalSet 41.12-10StabilizerPcgs 45.15-1StandardAssociate 56.5-5StandardAssociateUnit 56.5-6StandardizeTable 47.7-2StarCyc 18.5-3START_TEST 7.9-2StartlineFunc 5.1-5State 14.7-3Stirling1 16.1-5Stirling2 16.1-6STOP_TEST 7.9-2StoredGroebnerBasis 66.18-3StoreFusion 73.3-4StraightLineProgElm 37.9-2StraightLineProgGens 37.9-3StraightLineProgram, for a list of lines (and the number of generators) 37.8-2StraightLineProgram, for a string and a list of generators names 37.8-2StraightLineProgramNC, for a list of lines (and the number of generators) 37.8-2StraightLineProgramNC, for a string and a list of generators names 37.8-2StraightLineProgramsTom 70.10-2StreamsFamily 10.1-9StretchImportantSLPElement 37.9-5String 27.6-6String, for a cyclotomic 18.1-6StringDate 27.9-6StringFactorizationWord 47.2-4StringNumbers 27.6-20StringOfResultOfStraightLineProgram 37.8-6StringPP 27.6-9StringTime 27.9-9StripLineBreakCharacters 27.6-7StrongGeneratorsStabChain 43.10-4StronglyConnectedComponents 33.4-5StructByGenerators 31.3StructuralCopy 12.7-2StructuralCopy, for lists 21.7StructureConstantsTable 62.4-2StructureDescription 39.6-1StructWithGenerators 31.3SU 50.2-4SubadditiveGroup 55.2-9SubadditiveGroupNC 55.2-9SubadditiveMagma 55.2-7SubadditiveMagmaNC 55.2-7SubadditiveMagmaWithZero 55.2-8SubadditiveMagmaWithZeroNC 55.2-8Subalgebra 62.6-1SubAlgebraModule 62.11-16SubalgebraNC 62.6-2SubalgebraWithOne 62.6-3SubalgebraWithOneNC 62.6-4SubdirectProduct 49.3-1SubdirectProducts 49.3-2Subfield 58.2-1SubfieldNC 58.2-1Subfields 58.2-10Subgroup 39.3-1Subgroup, for a group 39.3-1SubgroupByPcgs 45.7-9SubgroupByProperty 39.3-11SubgroupNC 39.3-1SubgroupOfWholeGroupByCosetTable 47.8-2SubgroupOfWholeGroupByQuotientSubgroup 47.13-1SubgroupProperty 43.12-1SubgroupShell 39.3-12SubgroupsSolvableGroup 39.21-3Submagma 35.2-7SubmagmaNC 35.2-7SubmagmaWithInverses 35.2-9SubmagmaWithInversesNC 35.2-9SubmagmaWithOne 35.2-8SubmagmaWithOneNC 35.2-8Submodule 57.2-1SubmoduleNC 57.2-2Submonoid 52.1-3SubmonoidNC 52.1-3SubnearAdditiveGroup 55.2-9SubnearAdditiveGroupNC 55.2-9SubnearAdditiveMagma 55.2-7SubnearAdditiveMagmaNC 55.2-7SubnearAdditiveMagmaWithZero 55.2-8SubnearAdditiveMagmaWithZeroNC 55.2-8SubnormalSeries 39.17-4Subring 56.1-7SubringNC 56.1-7SubringWithOne 56.3-5SubringWithOneNC 56.3-5Subsemigroup 51.1-3SubsemigroupNC 51.1-3Subspace 61.2-2SubspaceNC 61.2-2Subspaces 61.4-1SubstitutedWord, replace a subword by a given word 37.4-5SubstitutedWord, replace an interval by a given word 37.4-5SubsTom 70.7-1Substruct 31.8SubstructNC 31.8SubSyllables 37.5-4SubtractBlist 22.4-4SubtractSet 21.19-8Subword 37.4-3Successors 33.2-9Sum 21.20-26SumFactorizationFunctionPcgs 45.12-1SumIntersectionMat 24.11-4SumX 21.21-3Sup 19.2-4SupersolvableResiduum 39.12-11SupportedCharacterTableInfo 71.3-4SurjectiveActionHomomorphismAttr 41.12-17SuzukiGroup 50.1-11SylowComplement 39.13-2SylowSubgroup 39.13-1SylowSystem 39.13-4SymmetricClosureBinaryRelation 33.4-2SymmetricGroup, for a degree 50.1-9SymmetricGroup, for a domain 50.1-9SymmetricParentGroup 43.4-4SymmetricParts 72.11-2SymmetricPowerOfAlgebraModule 64.15-3Symmetrizations 72.11-1SymplecticComponents 72.11-5SymplecticGroup, for dimension and a ring 50.2-5SymplecticGroup, for dimension and field size 50.2-5Sz 50.1-11TableAutomorphisms 71.22-2TableOfMarks, for a group 70.3-1TableOfMarks, for a matrix 70.3-1TableOfMarks, for a string 70.3-1TableOfMarksByLattice 70.3-2TableOfMarksComponents 70.6-4TableOfMarksCyclic 70.12-1TableOfMarksDihedral 70.12-2TableOfMarksFamily 70.6-3TableOfMarksFrobenius 70.12-3Tan 19.2-1Tanh 19.2-1Tau 15.5-2TCENUM 47.6-5TeachingMode 6.13-1TemporaryGlobalVarName 4.9-11Tensored 72.8-20TensorProductGModule 69.2-2TensorProductOfAlgebraModules, for a list of algebra modules 64.15-1TensorProductOfAlgebraModules, for two algebra modules 64.15-1Test 7.9-3TestConsistencyMaps 73.5-12Tester 13.6-1TestHomogeneous 75.3-1TestInducedFromNormalSubgroup 75.3-4TestJacobi 62.4-6TestMonomial, for a character 75.4-1TestMonomial, for a character and a Boolean 75.4-1TestMonomial, for a group 75.4-1TestMonomial, for a group and a Boolean 75.4-1TestMonomialQuick, for a character 75.4-4TestMonomialQuick, for a group 75.4-4TestMonomialUseLattice 75.4-2TestPackageAvailability 76.3-2TestPerm1 72.14-2TestPerm2 72.14-2TestPerm3 72.14-2TestPerm4 72.14-2TestPerm5 72.14-2TestQuasiPrimitive 75.3-3TestRelativelySM, for a character 75.4-6TestRelativelySM, for a character and a normal subgroup 75.4-6TestRelativelySM, for a group 75.4-6TestRelativelySM, for a group and a normal subgroup 75.4-6TestSubnormallyMonomial, for a character 75.4-5TestSubnormallyMonomial, for a group 75.4-5then 4.17ThreeGroup library 50.7TietzeWordAbstractWord 48.3-1time 7.6-3Trace, for a field element 58.3-5Trace, for a matrix 58.3-5Trace, of a matrix 24.4-3TracedCosetFpGroup 47.6-2TraceImmediateMethods 7.3-3TraceMat 24.4-3TraceMethods 7.3-1TracePolynomial 58.3-3TransferDiagram 73.5-11Transformation 54.1-3TransformationData 54.1-2TransformationFamily 54.1-2TransformationNC 54.1-3TransformationRelation 54.1-16TransformationType 54.1-2TransformingPermutations 71.22-3TransformingPermutationsCharacterTables 71.22-4TransitiveClosureBinaryRelation 33.4-3TransitiveGroup 50.6-1TransitiveIdentification 50.6-3Transitivity, for a character 72.8-16Transitivity, for a group and an action domain 41.10-2Transitivity, for an external set 41.10-2TranslatorSubalgebra 62.11-24TransposedMat 24.5-6TransposedMatAttr 24.5-6TransposedMatDestructive 24.5-7TransposedMatImmutable 24.5-6TransposedMatMutable 24.5-6TransposedMatOp 24.5-6TransposedMatrixGroup 44.2-4TriangulizedIntegerMat 25.2-1TriangulizedIntegerMatTransform 25.2-2TriangulizedMat 24.7-2TriangulizedNullspaceMat 24.7-4TriangulizedNullspaceMatDestructive 24.7-5TriangulizeIntegerMat 25.2-3TriangulizeMat 24.7-3TrivialCharacter, for a character table 72.7-1TrivialCharacter, for a group 72.7-1TrivialGroup 50.1-1TrivialIterator 30.8-7TrivialSubalgebra 62.6-5TrivialSubgroup 39.12-1TrivialSubmagmaWithOne 35.4-14TrivialSubmodule 57.2-4TrivialSubmonoid 52.1-8TrivialSubnearAdditiveMagmaWithZero 55.3-6TrivialSubspace 61.3-2Trunc 19.2-1TryCosetTableInWholeGroup 47.8-1TryGcdCancelExtRepPolynomials 66.24-2TryNextMethod 78.4-1Tuples 16.2-8TwoClosure 43.12-3TwoCoboundaries 46.8-1TwoCocycles 46.8-2TwoCohomology 46.8-3TwoGroup library 50.7TwoSidedIdeal 56.2-1TwoSidedIdealByGenerators 56.2-4TwoSidedIdealNC 56.2-2TwoSquares 15.7-1TypeObj 13.9-1TypeOfDefaultGeneralMapping 32.14-7TzEliminate, for a presentation (and a generator) 48.7-1TzEliminate, for a presentation (and an integer) 48.7-1TzFindCyclicJoins 48.7-4TzGo 48.6-1TzGoGo 48.6-3TzImagesOldGens 48.9-3TzInitGeneratorImages 48.9-1TzNewGenerator 48.5-2TzOptions 48.11-1TzPreImagesNewGens 48.9-4TzPrint 48.4-6TzPrintGeneratorImages 48.9-5TzPrintGenerators 48.4-1TzPrintLengths 48.4-3TzPrintOptions 48.11-2TzPrintPairs 48.4-7TzPrintPresentation 48.4-5TzPrintRelators 48.4-2TzPrintStatus 48.4-4TzSearch 48.7-2TzSearchEqual 48.7-3TzSort 48.1-2TzSubstitute, for a presentation (and an integer and 0/1/2) 48.8-1TzSubstitute, for a presentation and a word 48.8-1TzSubstituteCyclicJoins 48.8-2UglyVector 61.11-2Unbind, unbind a list entry 21.5-2Unbind, unbind a record component 29.6-2Unbind, unbind a variable 4.8-2Unbind\. 29.7-3Unbind\[\] 21.2-1UnbindElmWPObj 86.2-1UnbindGlobal 4.9-6UnderlyingCharacteristic, for a character 71.9-5UnderlyingCharacteristic, for a character table 71.9-5UnderlyingCharacterTable 72.2-1UnderlyingElement, fp group elements 47.4-4UnderlyingElement, fp semigroup elements 53.4-1UnderlyingElementOfReesMatrixSemigroupElement 51.8-8UnderlyingElementOfReesZeroMatrixSemigroupElement 51.8-8UnderlyingExternalSet 41.12-16UnderlyingFamily 64.1-4UnderlyingGeneralMapping 32.3-10UnderlyingGroup, for character tables 71.6-1UnderlyingGroup, for tables of marks 70.7-7UnderlyingLeftModule 61.6-2UnderlyingLieAlgebra 64.6-6UnderlyingMagma 65.1-6UnderlyingRelation 32.3-9UnderlyingRingElement 64.1-5UnInstallCharReadHookFunc 10.10-2Union, for a list 30.5-3Union, for various collections 30.5-3Union2 30.5-3UnionBlist, for a list 22.3-1UnionBlist, for various boolean lists 22.3-1Unique 21.20-4UniteBlist 22.4-1UniteBlistList 22.4-2UniteSet 21.19-6Units 56.5-2UnivariatenessTestRationalFunction 66.5-7UnivariatePolynomial 66.5-1UnivariatePolynomialByCoefficients 66.5-2UnivariatePolynomialRing, for a ring (and a name and an exclusion list) 66.16-1UnivariatePolynomialRing, for a ring (and an indeterminate number) 66.16-1UnivariateRationalFunctionByCoefficients 66.14-1UniversalEnvelopingAlgebra 64.10-1UNIXSelect 10.2-3Unknown 74.1-1UnloadSmallGroupsData 50.7-9UnorderedTuples 16.2-6UnprofileFunctions 7.7-5UnprofileMethods 7.7-7until 4.19UntraceMethods 7.3-2UpdateMap 73.5-7UpEnv 6.5-1UpperCentralSeriesOfGroup 39.17-12UpperSubdiagonal 24.12-2UseBasis 57.3-5UseFactorRelation 31.13-2UseIsomorphismRelation 31.13-3UserPreference 3.2-3UseSubsetRelation 31.13-1ValidatePackageInfo 76.3-12Valuation 68.1-3Value, for a univariate rat. function, a value (and a one) 66.7-1Value, for rat. function, a list of indeterminates, a value (and a one) 66.7-1ValueCochain 64.12-4ValueGlobal 4.9-4ValueMolienSeries 72.12-3ValueOption 8.1-5ValuePol 23.7-1ValuesOfClassFunction 72.2-2VectorSpace 61.2-1VectorSpaceByPcgsOfElementaryAbelianGroup 45.14-1vi 6.11View 6.3-3ViewObj 6.3-5ViewObj, for a character table 71.13-1ViewObj, for a ffe 59.6-1ViewObj, for a string 27.1-4ViewObj, for a table of marks 70.4-1ViewObj, for class functions 72.5-1ViewString 27.6-3vim 6.11VirtualCharacter, for a character table and a list 72.6-2VirtualCharacter, for a group and a list 72.6-2WeakPointerObj 86.1-1WedgeGModule 69.2-3WeekDay 27.9-5WeightLexOrdering 34.4-8WeightOfGenerators 34.4-10WeightsTom 70.7-12WeightVecFFE 23.6-1WeylGroup 64.7-3WeylOrbitIterator 64.7-7Where 6.4-5while loop 4.18WordAlp 27.6-10WreathProduct 49.4-1WreathProductImprimitiveAction 49.4-2WreathProductOrdering 34.4-13WreathProductProductAction 49.4-3WriteAll 10.4-3WriteByte 10.4-1WriteGapIniFile 3.2-3WriteLine 10.4-2X, for a family and a number 66.1-1X, for a ring (and a name, and an exclusion list) 66.1-1X, for a ring (and a number) 66.1-1Z, for field size 59.1-2Z, for prime and degree 59.1-2ZClassRepsQClass 44.6-9Zero 31.10-3ZeroAttr 31.10-3ZeroCoefficient 65.2-5ZeroCoefficientRatFun 66.21-4ZeroImmutable 31.10-3ZeroMapping 32.2-8ZeroMutable 31.10-3ZeroOp 31.10-3ZeroSameMutability 31.10-3ZeroSM 31.10-3Zeta 19.2-1ZippedProduct 66.23-2ZippedSum 66.23-1ZmodnZ 14.5-2ZmodnZObj, for a residue class family and integer 14.5-3ZmodnZObj, for two integers 14.5-3ZmodpZ 14.5-2ZmodpZNC 14.5-2ZumbroichBase 60.3-1Zuppos 39.20-8
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