Inducing $π$-partial characters with a given vertex
Mark L. Lewis · arXiv (Cornell University) · 2010
Let $G$ be a solvable group. Let $p$ be a prime and let $Q$ be a $p$-subgroup of a subgroup $V$. Suppose $ϕ\in \ibr G$. If either $|G|$ is odd or $p = 2$, we prove that the number of Brauer characters of $H$ inducing $ϕ$ with vertex $Q$ is at most $| orm GQ: orm VQ|$.