Brauer characters of $q^\prime$- degree

Mark L. Lewis; Hung P. Tong-Viet

Brauer characters of $q^\prime$- degree

Group Theory 2016-07-01 v3

Authors: Mark L. Lewis , Hung P. Tong-Viet

Abstract

We show that if $p$ is a prime and $G$ is a finite $p$ -solvable group satisfying the condition that a prime $q$ divides the degree of no irreducible $p$ -Brauer character of $G$ , then the normalizer of some Sylow $q$ -subgroup of $G$ meets all the conjugacy classes of $p$ -regular elements of $G$ .

Keywords

Brauer character p-solvable group irreducible character Sylow subgroup normalizer conjugacy class p-regular element

Cite

@article{arxiv.1601.05373,
  title  = {Brauer characters of $q^\prime$- degree},
  author = {Mark L. Lewis and Hung P. Tong-Viet},
  journal= {arXiv preprint arXiv:1601.05373},
  year   = {2016}
}

Comments

A shorter version of this paper will appear in Proceedings of the AMS

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