Marta Morigi

activity

20142024

collaborators

4 papers

math.GR2024

Commuting probability for approximate subgroups of a finite group

Eloisa Detomi, Marta Morigi, Pavel Shumyatsky

For subsets X,Y of a finite group G, we write Pr(X,Y) for the probability that two random elements x in X and y in Y commute. This paper addresses the relation between the structur…

math.GR2023

Commuting probability for the Sylow subgroups of a finite group

Eloisa Detomi, Andrea Lucchini, Marta Morigi +1

For subsets $X, Y$ of a finite group $G$ , let $P r (X, Y)$ denote the probability that two random elements $x \in X$ and $y \in Y$ commute. Obviously, a finite group $G$ is nilpotent if…

math.GR2023

Probabilistic properties of profinite groups

Eloisa Detomi, Andrea Lucchini, Marta Morigi +1

Let $C$ be a class of finite groups which is closed for subgroups, quotients and direct products. Given a profinite group $G$ and an element $x \in G$ , we denote by $P_{\m…

math.GR2014

Procyclic coverings of commutators in profinite groups

Gustavo A. Fernández-Alcober, Marta Morigi, Pavel Shumyatsky

We consider profinite groups in which all commutators are contained in a union of finitely many procyclic subgroups. It is shown that if G is a profinite group in which all commuta…