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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Showing 2017Show all

5 papers · 1 filter

math.GR2017

Profinite groups and centralizers of coprime automorphisms whose elements are Engel

Cristina Acciarri, Danilo Sanção da Silveira

Let $q$ be a prime, $n$ a positive integer and $A$ an elementary abelian group of order $q^{r}$ with $r \geq 2$ acting on a finite $q^{'}$ -group $G$ . The following results are proved. We…

math.GR2017

Graphs encoding the generating properties of a finite group

Cristina Acciarri, Andrea Lucchini

Assume that $G$ is a finite group. For every $a, b \in N,$ we define a graph $Γ_{a, b} (G)$ whose vertices correspond to the elements of $G^{a} \cup G^{b}$ and in which two tuples…

math.GR2017★ 6 cited

Profinite groups and the fixed points of coprime automorphisms

Cristina Acciarri, Pavel Shumyatsky

The main result of the paper is the following theorem. Let $q$ be a prime and $A$ an elementary abelian group of order $q^{3}$ . Suppose that $A$ acts coprimely on a profinite group $…

math.GR2017★ 2 cited

On verbal subgroups in finite and profinite groups

Cristina Acciarri, Pavel Shumyatsky

Let $w$ be a multilinear commutator word. In the present paper we describe recent results that show that if $G$ is a profinite group in which all $w$ -values are contained in a unio…

math.GR2017

On groups with automorphisms whose fixed points are Engel

Cristina Acciarri, Pavel Shumyatsky, Danilo Sanção da Silveira

We complete the study of finite and profinite groups admitting an action by an elementary abelian group under which the centralizers of automorphisms consist of Engel elements. In…