$M_{p}$ -GROUPS AND BRAUER CHARACTER DEGREES
Year: 2025
Type: article
Abstract: Let G be a finite group and p be a prime. We prove that if G has three codegrees, then G is an M -group. We prove for some prime p that if the degree of every nonlinear irreducible Brauer character of G is a prime, then for every normal subgroup N of G , either $G/N$ or N is an $M_p$ -group.
Authors: XIAOYOU CHEN, MARK L. LEWIS
Institutions: Henan University of Technology, Kent State University
Language: English
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $3,550
OpenAlex ID: W4410244263