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2021/98/1-2 (14) — DOI: 10.5486/PMD.2021.8977 — pp. 255-258

A note on monolithic Brauer characters

Authors: Xiaoyou Chen and Ni Du

Abstract:

Let $G$ be a finite group, $p$ be a prime number, and let $D$ be the intersection of the kernels of all the non-monomial monolithic $p$-Brauer characters of $G$. We prove in this note that $D$ is solvable.

Keywords: monolithic Brauer character, monomial Brauer character, solvable group

Mathematics Subject Classification: 20C20, 20C15