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

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

Keywords:

${rm B}_pi$-characters‎ , ‎$pi$-theory‎ , ‎$pi$-separable groups