Inducing $\pi$-partial characters with a given vertex

Mark L. Lewis

Inducing $\pi$-partial characters with a given vertex

Group Theory 2010-08-11 v1

Authors: Mark L. Lewis

Abstract

Let $G$ be a solvable group. Let $p$ be a prime and let $Q$ be a $p$ -subgroup of a subgroup $V$ . Suppose $\phi \in \ibr G$ . If either $|G|$ is odd or $p = 2$ , we prove that the number of Brauer characters of $H$ inducing $\phi$ with vertex $Q$ is at most $|\norm GQ: \norm VQ|$ .

Keywords

character theory character theory of finite groups

Cite

@article{arxiv.1008.1633,
  title  = {Inducing $\pi$-partial characters with a given vertex},
  author = {Mark L. Lewis},
  journal= {arXiv preprint arXiv:1008.1633},
  year   = {2010}
}

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