M. Morigi

activity

20072026

most citedOuter commutator words are uniformly concise

26 citations · 27 across the 22 of their papers we have counts for

collaborators

Showing 2022Show all

2 papers · 1 filter

math.GR2022

Commutators, centralizers, and strong conciseness in profinite groups

Eloisa Detomi, Marta Morigi, Pavel Shumyatsky

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

math.GR2022

Centralizers of commutators in finite groups

Eloisa Detomi, Marta Morigi, Pavel Shumyatsky

Let $G$ be a finite group. A coprime commutator in $G$ is any element that can be written as a commutator $[x, y]$ for suitable $x, y \in G$ such that $π (x) \cap π (y) = \emptyset$ . Here $…