${rm B}_pi$-characters and quotients

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 ${rm B}_pi (G/N) = irr {G/N} cap {rm B}_pi (G)$‎.