M. Morigi

activity

20072026

most citedOuter commutator words are uniformly concise

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

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Showing 2023Show all

2 papers · 1 filter

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…