E. Detomi

activity

20112025

collaborators

Showing 2021Show all

3 papers · 1 filter

math.GR2021

Strong conciseness of coprime and anti-coprime commutators

Eloisa Detomi, Marta Morigi, Pavel Shumyatsky

A coprime commutator in a profinite group $G$ is an element of the form $[x, y]$ , where $x$ and $y$ have coprime order and an anti-coprime commutator is a commutator $[x, y]$ such th…

math.GR2021

On the rank of a verbal subgroup of a finite group

Eloisa Detomi, Marta Morigi, Pavel Shumyatsky

We show that if $w$ is a multilinear commutator word and $G$ a finite group in which every metanilpotent subgroup generated by $w$ -values is of rank at most $r$ , then the rank of t…

math.GR2021

On the commuting probability for subgroups of a finite group

Eloisa Detomi, Pavel Shumyatsky

Let $K$ be a subgroup of a finite group $G$ . The probability that an element of $G$ commutes with an element of $K$ is denoted by $P r (K, G)$ . Assume that $P r (K, G) \geq ε$ for some fix…