Asypmtotic Behaviour of the Conjugacy Probability of the Alternating Group

Misja F. A. Steinmetz, Madeleine L. Whybrow

For $G$ a finite group, let $\kappa (G)$ be the probability that $\sigma ,\tau \in G$ are conjugate, when $\sigma$ and $\tau$ are chosen independently and uniformly at random. In this paper, we extend the…