Cristina Acciarri

activity

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 2018Show all

3 papers · 1 filter

math.GR2018

The generating graph of the abelian groups

Cristina Acciarri, Andrea Lucchini

For a group $G,$ let $Γ (G)$ denote the graph defined on the elements of $G$ in such a way that two distinct vertices are connected by an edge if and only if they generate $G$ . More…

math.GR2018

Engel sinks of fixed points in finite groups

Cristina Acciarri, Pavel Shumyatsky, Danilo Sanção da Silveira

For an element $g$ of a group $G$ , an Engel sink is a subset $E (g)$ such that for every $x \in G$ all sufficiently long commutators $[x, g, g, \dots, g]$ belong to $\math…

math.GR2018

Profinite groups with an automorphism whose fixed points are right Engel

C. Acciarri, E. I. Khukhro, P. Shumyatsky

An element $g$ of a group $G$ is said to be right Engel if for every $x \in G$ there is a number $n = n (g, x)$ such that $[g,_{n} x] = 1$ . We prove that if a profinite group $G$ admits…