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math.GR2026
Rank properties of commutators in finite groups
Cristina Acciarri, Robert M. Guralnick, Evgeny Khukhro +1
For a subset of a finite group , let denote the set of commutators , where and . Suppose that a finite group has a Carter subg…
math.GR2026
Profinite groups with restricted centralizers of powers
Cristina Acciarri, Pavel Shumyatsky
A group is said to have restricted centralizers if for every the centralizer either is finite or has finite index in . Shalev showed that a profinite group…