Derangements in wreath products of permutation groups

Vishnuram Arumugam, Heiko Dietrich, S. P. Glasby

Given a finite group $G$ acting on a set $X$ let ${\delta }_k(G,X)$ denote the proportion of elements in $G$ that have exactly $k$ fixed points in $X$. Let ${\mathrm{S}}_n$ denote the symmet…