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arXiv · 1008.1633

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

Mark L. Lewis
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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 $|\norm GQ: \norm VQ|$.

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Mark L. Lewis. 2010-08-10. Inducing $\pi$-partial characters with a given vertex. https://arxiv.org/abs/1008.1633

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