Powers in the wreath product of $G$ with $S_n$

Rijubrata Kundu, Sudipa Mondal

In this paper we compute powers in the wreath product $G\wr S_n$, for any finite group $G$. For $r\ge 2$, a prime, consider ${\omega }_r:G\wr S_n\to G\wr S_n$ defined by $g\mapsto g^r$.…