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…