Accessible Requires Authentication Published by De Gruyter May 30, 2010

On p-Brauer characters of p′-degree and self-normalizing Sylow p-subgroups

Gabriel Navarro and Pham Huu Tiep
From the journal

Abstract

Let G be a finite group and p > 2 a prime. We show that a Sylow p-subgroup of G is self-normalizing if and only if G has no non-trivial irreducible p-Brauer character of degree not divisible by p.

Received: 2009-03-04
Revised: 2009-12-15
Published Online: 2010-05-30
Published in Print: 2010-November

© de Gruyter 2010