On p-parts of Brauer character degrees and p-regular conjugacy class sizes

Christine Bessenrodt, Yong Yang

Let $G$ be a finite group, $p$ a prime, and $IB{r}_p(G)$ the set of irreducible $p$-Brauer characters of $G$. Let ${\bar{e}}_p(G)$ be the largest integer such that $p^{{\bar{e}}_p(G)}$ div…