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math.GR2021
Coprime automorphisms of finite groups
Cristina Acciarri, Robert M. Guralnick, Pavel Shumyatsky
Let be a finite group admitting a coprime automorphism of order . Denote by the set of commutators , where , and by the subgroup gene…
math.GR2021
Profinite groups with restricted centralizers of -elements
Cristina Acciarri, Pavel Shumyatsky
A group is said to have restricted centralizers if for each in the centralizer either is finite or has finite index in . Shalev showed that a profinite grou…