Square-free class sizes in products of groups

Abstract

We obtain some structural properties of a factorised group $G=AB$, given that the conjugacy class sizes of certain elements in $A\cup B$ are not divisible by $p^2$, for some prime $p$. The case when $G=AB$ is a mutually permutable product is especially considered.

Cited by in corpus (1)

• Zeros of irreducible characters in factorised groups