gap/pcpgrp:
higher level functions for pcp groups:
fitting.gi -- fitting subgroup, centre, FC-centre, etc.
pcpattr.gi -- some general functions, not installed attributes
maxsub.gi -- maximal subgroups
findex.gi -- subgroups of finite index (LowIndex)
nindex.gi -- normal subgroups of finite index
polyz.gi -- compute a poly-Z normal subgroup
grpinva.gi -- invariant subspaces
torsion.gi -- finite subgroups (TorsionSubgroup / FiniteSubgroups)
nilpot.gi -- centralizers in nilpotent groups
inters.gi -- intersection with normal subgroup
centnorm.gi -- centralizers and normalizers
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Centalizer
Normalizer
Intersection
A SemiSimpleEfaSeries (this is not unique for G!)
A FittingSubgroup
A Centre
A UpperCentralSeriesOfGroup
A FCCentre
F NilpotentByAbelianByFiniteStructure
A IsNilpotentByFinite
A MinimalGeneratingSet
A MaximalSubgroupClassesByIndex
A SylowSubgroups
A LowIndexSubgroupClasses
A LowIndexNormalSubgroups
(F NilpotentByAbelianNormalSubgroup - application of LowIndexNormals)
F PolyZNormalSubgroup
A TorsionSubgroup
A NormalTorsionSubgroup
P IsTorsionFree
A FiniteSubgroupClasses
F RootSet
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Todo - Centralizer
- Normalizer
- Intersection (check with inters.gi)
- clear up general.gi
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