On the commuting probability of p-elements in a finite group

Timothy C. Burness, Robert M. Guralnick, Alexander Moretó +1

Let $G$ be a finite group, let $p$ be a prime and let ${\mathrm{Pr}}_p(G)$ be the probability that two random $p$-elements of $G$ commute. In this paper we prove that ${\rm Pr}_p(G) > (…