CONCISENESS OF COPRIME COMMUTATORS IN FINITE GROUPS
CONCISENESS OF COPRIME COMMUTATORS IN FINITE GROUPS
Abstract Let $G$ be a finite group. We show that the order of the subgroup generated by coprime ${\gamma }_{k} $ -commutators (respectively, ${\delta }_{k} $ -commutators) is bounded in terms of the size of the set of coprime ${\gamma }_{k} $ -commutators (respectively, ${\delta }_{k} $ -commutators). This is …