Extensions
The following (empty) functions are defined in GroupsCore
only to be extended externally:
isabelian
issolvable
isnilpotent
isperfect
derivedsubgroup
center
socle
sylowsubgroup
centralizer
normalizer
stabilizer
right_coset_representatives
GroupsCore.index
— Functionindex(H::Gr, G::Gr) where {Gr <: Group}
Return the index |G : H|
, where H ≤ G
is a subgroup. If H
is not contained in G
, an error is thrown.
GroupsCore.left_coset_representatives
— Functionleft_coset_representatives(H::Gr, G::Gr) where {Gr <: Group}
Return representatives of the left cosets h G
where h
are elements of H
. If H
is not contained in G
, an error is thrown.