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math.GR2026
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…
math.GR2026
Finite groups with high commuting probability for Sylow subgroups
Eloisa Detomi, Débora Senise, Pavel Shumyatsky
Given two subsets of a finite group , we write for the probability that random elements and commute. If are subgroups, we denote by $\…