E. Detomi

collaborators

4 papers

math.GR2026

Finite groups with high commuting probability for Sylow subgroups

Eloisa Detomi, DÃ©bora Senise, Pavel Shumyatsky

Given two subsets $X, Y$ of a finite group $G$ , we write $Pr (X, Y)$ for the probability that random elements $x \in X$ and $y \in Y$ commute. If $X, Y$ are subgroups, we denote by $\…

math.GR2025

Finite groups, commuting probability, and coprime automorphisms

Eloisa Detomi, Robert M. Guralnick, Marta Morigi +1

Given two subgroups $H, K$ of a finite group $G$ , the probability that a pair of random elements from $H$ and $K$ commutes is denoted by $P r (H, K)$ . Suppose that a finite group $G$ a…

math.GR2025

Commuting probability for conjugate subgroups of a finite group

Eloisa Detomi, Robert M. Guralnick, Marta Morigi +1

Given two subgroups H,K of a finite group G, the probability that a pair of random elements from H and K commutes is denoted by \pr(H,K). We address the following question. Let P b…

math.GR2025

Groups with a covering condition on commutators

Eloisa Detomi, Marta Morigi, Pavel Shumyatsky

Given a group G and positive integers k,n, we let B_n=B_n(G) denote the set of all elements x in G such that |x^G|\leq n, and we say that G satisfies the (k,n)-covering condition f…