Itô's theorem and monomial Brauer characters

2017/03/07 by Chen, Xiaoyou, Lewis, Mark L.
#20C20 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1703.02452

Abstract

Let G be a finite solvable group, and let p be a prime. In this note, we prove that p does not divide φ(1) for every irreducible monomial p-Brauer character φ of G if and only if G has a normal Sylow p-subgroup.

Related

• Brauer characters of q^′- degree
• A normal version of Brauer's height zero conjecture
• Alperin's bound and normal Sylow subgroups
• Solvable groups whose monomial, monolithic characters have prime power codegrees
• Monomial characters of finite solvable groups