International Journal of Group Theory (Jun 2019)
${rm B}_pi$-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 ${rm B}_pi (G/N) = irr {G/N} cap {rm B}_pi (G)$.
Keywords