Cristina Acciarri

collaborators

4 papers

math.GR2026

Local--global generation property of commutators in finite $I ¨ $ -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…

math.GR2026

Rank type conditions on commutators in finite groups

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

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

math.GR2026

Profinite groups with restricted centralizers of powers

Cristina Acciarri, Pavel Shumyatsky

A group $G$ is said to have restricted centralizers if for every $x \in G$ the centralizer $C_{G} (x)$ either is finite or has finite index in $G$ . Shalev showed that a profinite group…

math.GR2026

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…

Local--global generation property of commutators in finite I¨-soluble groups

Rank type conditions on commutators in finite groups

Profinite groups with restricted centralizers of powers

Coprime commutators in profinite groups

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