Augmentation 4.2-5AugmentationHomomorphism 4.3-1AugmentationIdeal 4.3-2AugmentationIdealNilpotencyIndex 4.3-6AugmentationIdealOfDerivedSubgroupNilpotencyIndex 4.3-7AugmentationIdealPowerSeries 4.3-5BassCyclicUnit 4.2-13BicyclicUnitGroup 4.4-13BicyclicUnitOfType1 4.2-12BicyclicUnitOfType2 4.2-12CanonicalBasis 4.5-16CoefficientsBySupport 4.2-2DihedralDepth 4.6-2DimensionBasis 4.6-3Embedding, from group to Lie algebra 4.5-8Embedding, from group to unit group 4.4-5GroupBases 4.4-14InverseOp 4.2-11Involution 4.2-7IsBasisOfLieAlgebraOfGroupRing 4.5-17IsFModularGroupAlgebra 4.1-2IsGroupAlgebra 4.1-1IsGroupOfUnitsOfMagmaRing 4.4-8IsLieAbelian 4.5-11IsLieAlgebraByAssociativeAlgebra 4.5-2IsLieAlgebraOfGroupRing 4.5-6IsLieCentreByMetabelian 4.5-15IsLieMetabelian 4.5-14IsLieNilpotent 4.5-13IsLieSolvable 4.5-12IsNormalizedUnitGroupOfGroupRing 4.4-10IsPModularGroupAlgebra 4.1-3IsSymmetric 4.2-8IsUnit 4.2-10IsUnitary 4.2-9IsUnitGroupOfGroupRing 4.4-9LAGInfo 4.6-6LeftIdealBySubgroup 4.3-8Length 4.2-4LieAlgebraByDomain 4.5-1LieCentre 4.5-9LieDerivedLength 4.5-21LieDerivedSubalgebra 4.5-10LieDimensionSubgroups 4.6-4LieLowerNilpotencyIndex 4.5-20LieUpperCodimensionSeries, for group 4.6-5LieUpperCodimensionSeries, for group ring 4.6-5LieUpperNilpotencyIndex 4.5-19NaturalBijectionToAssociativeAlgebra 4.5-5NaturalBijectionToLieAlgebra 4.5-4NaturalBijectionToNormalizedUnitGroup 4.4-4NaturalBijectionToPcNormalizedUnitGroup 4.4-3NormalizedUnitGroup 4.4-1PartialAugmentations 4.2-6PcNormalizedUnitGroup 4.4-2PcUnits 4.4-7RadicalOfAlgebra 4.3-3RightIdealBySubgroup 4.3-8StructureConstantsTable 4.5-18SubgroupsOfIndexTwo 4.6-1Support 4.2-1TraceOfMagmaRingElement 4.2-3TwoSidedIdalBySubgroup 4.3-8UnderlyingAssociativeAlgebra 4.5-3UnderlyingField 4.1-6UnderlyingGroup, of Lie algebra of a group ring 4.5-7UnderlyingGroup, of a group ring 4.1-4UnderlyingGroupRing 4.4-11UnderlyingRing 4.1-5UnitarySubgroup 4.4-12Units 4.4-6WeightedBasis 4.3-4
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