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

Document Type: Research Paper

Author

Department of Mathematical Sciences Kent State University

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 ${\rm B}_\pi (G/N) = \irr {G/N} \cap {\rm B}_\pi (G)$‎.

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