Alperin's bound and normal Sylow subgroups

Zhicheng Feng, J. Miquel Martínez, Damiano Rossi

Let $G$ be a finite group, $p$ a prime number and $P$ a Sylow $p$-subgroup of $G$. Recently, G. Malle, G. Navarro, and P. H. Tiep conjectured that the number of $p$-Brauer characte…