$M_{p}$-GROUPS AND BRAUER CHARACTER DEGREES
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
- Mark L. Lewis (ORCID: https://orcid.org/0000-0001-9627-6922)
- Xiaoyou Chen (ORCID: https://orcid.org/0000-0002-3230-1647)
Institutions
- Kent State University (US)
- Henan University of Technology (CN)
Publication Details
- Journal
- Bulletin of the Australian Mathematical Society
- Published
- 2025-05-09
- DOI
- https://doi.org/10.1017/s0004972725000280
- Primary Topic
- Finite Group Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00