Commit 2022-11-15 10:09 5e4b2d4a
View on Github →feat(group_theory/group_action/quotient): If G=<S>
, then G / Z(G)
embeds into S → {[g₁, g₂]}
(#17151)
In other words, if a finitely generated group has finitely many commutators, then the center has index at most #commutators^rank. This is building up to the theorem that the size of the commutator subgroup is bounded in terms of the number of commutators.