26 citations · 27 across the 22 of their papers we have counts for
30 papers · 1 filter
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…