Finite Gelfand pairs and cracking points of the symmetric groups

Faith Pearson, Anna Romanov, Dylan Soller

Let $\Gamma$ be a finite group. Consider the wreath product $G_n:={\Gamma }^n⋊S_n$ and the subgroup $K_n:={\Delta }_n\times S_n\subseteq G_n$, where $S_n$ is the symmetric group and ${\Delta }_n$…