Brauer characters, degrees and subgroups

Abstract

We prove a result on Brauer characters of finite groups, subgroups and degrees of characters, obtaining, as a corollary, a shorter proof of a generalization of a recent result of G. Qian on element orders and character degrees.

Problems on characters: solvable groups

“…Also, as discussed in [40], in Conjecture 8.4, cyclic might be replaced by abelian (or even nilpotent), at least in solvable groups. In [6], the modular version of this conjecture is studied.…”