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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
    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

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