p-Regular conjugacy classes and p-rational irreducible characters

Nguyen Ngoc Hung, Attila Maroti

Let $G$ be a finite group of order divisible by a prime $p$. The number of $p$-regular and $p^{\prime }$-regular conjugacy classes of $G$ is at least $2\sqrt{p-1}$. Also, the number of $p$-…