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math.GR2013
On finite groups in which coprime commutators are covered by few cyclic subgroups
Cristina Acciarri, Pavel Shumyatsky
The coprime commutators and were recently introduced as a tool to study properties of finite groups that can be expressed in terms of commutators of elements of cop…
math.GR2013★ 18 cited
Conciseness of coprime commutators in finite groups
Cristina Acciarri, Pavel Shumyatsky, Anitha Thillaisundaram
Let be a finite group. We show that the order of the subgroup generated by coprime -commutators (respectively -commutators) is bounded in terms of the size of the set…