26 citations · 27 across the 22 of their papers we have counts for
30 papers
Coprime automorphisms of profinite groups and the commuting probability of Sylow subgroups
Eloisa Detomi, Robert M. Guralnick, Marta Morigi +1
Given two (closed) subgroups H, K of a profinite group G, we write Pr(H,K) for the probability that a random pair from HxK commutes. Here we are concerned with profinite groups con…
Finite groups, commuting probability, and coprime automorphisms
Eloisa Detomi, Robert M. Guralnick, Marta Morigi +1
Given two subgroups of a finite group , the probability that a pair of random elements from and commutes is denoted by . Suppose that a finite group a…
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…
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…
Commuting probability for the Sylow subgroups of a profinite group
Eloisa Detomi, Marta Morigi, Pavel Shumyatsky
Given two subgroups of a compact group , the probability that a random element of commutes with a random element of is denoted by . We show that if is…
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…