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arXiv · 1609.02029

${\rm B}_\pi$-characters and quotients

Mark L. Lewis
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Abstract

Let $\pi$ be a set of primes, and let $G$ be a finite $\pi$-separable group. We consider the Isaacs ${\rm B}_\pi$-characters. We show that if $N$ is a normal subgroup of $G$, then ${\rm B}_\pi (G/N) = {\rm Irr} (G/N) \cap {\rm B}_\pi (G)$.

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Mark L. Lewis. 2016-09-07. ${\rm B}_\pi$-characters and quotients. https://arxiv.org/abs/1609.02029

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