Brauer characters of $q^\prime$- degree

Mark L. Lewis; Hung P. Tong-Viet

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arXiv · 1601.05373

Brauer characters of $q^\prime$- degree

Mark L. Lewis·Hung P. Tong-Viet

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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 $G$.

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Mark L. Lewis, Hung P. Tong-Viet. 2016-01-20. Brauer characters of $q^\prime$- degree. https://arxiv.org/abs/1601.05373

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