Cristina Acciarri

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20112026

most citedConciseness of coprime commutators in finite groups

18 citations · 43 across the 23 of their papers we have counts for

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math.GR2025

Coprime commutators in profinite groups

Cristina Acciarri, Pavel Shumyatsky

By a coprime commutator in a profinite group $G$ we mean any element of the form $[x, y]$ , where $x, y \in G$ and $(∣ x ∣, ∣ y ∣) = 1$ . It is well-known that the subgroup generated by the c…

math.GR2025

Local--global generation property of commutators in finite $π$ -soluble groups

Cristina Acciarri, Robert M. Guralnick, Evgeny Khukhro +1

For a group $A$ acting by automorphisms on a group $G$ , let $I_{G} (A)$ denote the set of commutators $[g, a] = g^{- 1} g^{a}$ , where $g \in G$ and $a \in A$ , so that $[G, A]$ is the subgroup g…

Coprime commutators in profinite groups

Local--global generation property of commutators in finite π-soluble groups

Local--global generation property of commutators in finite $π$ -soluble groups