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Inducing π\pi-partial characters with a given vertex

Abstract

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

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