Commit 2022-11-04 14:10 0f4c9091
View on Github →feat(group_theory/abelianization): Add commutator_representatives
(#17312)
A theorem of Schur states that if G
has finitely many commutator elements [g, h]
, then the commutator subgroup of G
is finite. The first step of the proof is to reduce to the case where G
is finitely generated by passing to the subgroup generated by representatives g
and h
of the finitely many commutator elements in G
. This PR defines this subgroup (closure_commutator_representatives
) and provides the API needed for the proof of Schur's theorem (#17311).