Index Augmentation 4.2-5 augmentation homomorphism 3.1 augmentation ideal 3.1 AugmentationHomomorphism 4.3-1 AugmentationIdeal 4.3-2 AugmentationIdealNilpotencyIndex 4.3-6 AugmentationIdealOfDerivedSubgroupNilpotencyIndex 4.3-7 AugmentationIdealPowerSeries 4.3-5 Bass cyclic unit 4.2-13 BassCyclicUnit 4.2-13 bicyclic unit 4.2-12 BicyclicUnitGroup 4.4-13 BicyclicUnitOfType1 4.2-12 BicyclicUnitOfType2 4.2-12 CanonicalBasis 4.5-16 CoefficientsBySupport 4.2-2 DihedralDepth 4.6-2 dimension basis 3.3 DimensionBasis 4.6-3 Embedding, from group to Lie algebra 4.5-8 from group to unit group 4.4-5 group algebra 3.1 GroupBases 4.4-14 InverseOp 4.2-11 Involution 4.2-7 IsBasisOfLieAlgebraOfGroupRing 4.5-17 IsFModularGroupAlgebra 4.1-2 IsGroupAlgebra 4.1-1 IsGroupOfUnitsOfMagmaRing 4.4-8 IsLieAbelian 4.5-11 IsLieAlgebraByAssociativeAlgebra 4.5-2 IsLieAlgebraOfGroupRing 4.5-6 IsLieCentreByMetabelian 4.5-15 IsLieMetabelian 4.5-14 IsLieNilpotent 4.5-13 IsLieSolvable 4.5-12 IsNormalizedUnitGroupOfGroupRing 4.4-10 IsPModularGroupAlgebra 4.1-3 IsSymmetric 4.2-8 IsUnit 4.2-10 IsUnitary 4.2-9 IsUnitGroupOfGroupRing 4.4-9 Jennings series 3.3 LAGInfo 4.6-6 LAGUNA package .-1 LeftIdealBySubgroup 4.3-8 Length 4.2-4 Lie derived length 4.5-21 Lie derived series 4.5-21 LieAlgebraByDomain 4.5-1 LieCentre 4.5-9 LieDerivedLength 4.5-21 LieDerivedSubalgebra 4.5-10 LieDimensionSubgroups 4.6-4 LieLowerNilpotencyIndex 4.5-20 LieUpperCodimensionSeries, for group 4.6-5 for group ring 4.6-5 LieUpperNilpotencyIndex 4.5-19 lower Lie power series 4.5-20 modular group algebra 4.1-2 NaturalBijectionToAssociativeAlgebra 4.5-5 NaturalBijectionToLieAlgebra 4.5-4 NaturalBijectionToNormalizedUnitGroup 4.4-4 NaturalBijectionToPcNormalizedUnitGroup 4.4-3 normalised unit 3.1 normalised unit group 3.1 NormalizedUnitGroup 4.4-1 p-modular group algebra 3.2 partial augmentation 4.2-6 PartialAugmentations 4.2-6 PcNormalizedUnitGroup 4.4-2 PcUnits 4.4-7 power-commutator presentation 3.2 RadicalOfAlgebra 4.3-3 RightIdealBySubgroup 4.3-8 SISYPHOS package 1.1 standard product 3.3 StructureConstantsTable 4.5-18 SubgroupsOfIndexTwo 4.6-1 Support 4.2-1 symmetric element 4.2-8 TraceOfMagmaRingElement 4.2-3 TwoSidedIdalBySubgroup 4.3-8 UnderlyingAssociativeAlgebra 4.5-3 UnderlyingField 4.1-6 UnderlyingGroup, of a group ring 4.1-4 of Lie algebra of a group ring 4.5-7 UnderlyingGroupRing 4.4-11 UnderlyingRing 4.1-5 unit 3.1 unit group 3.1 unitary element 4.2-9 UnitarySubgroup 4.4-12 Units 4.4-6 upper Lie power series 4.5-19 weight, of dimension basis element 3.3 WeightedBasis 4.3-4 -------------------------------------------------------