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### 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
`Embedding`, 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
`LieUpperCodimensionSeries`, 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 Lie algebra of a group ring 4.5-7
`UnderlyingGroup`, of a group ring 4.1-4
`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

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