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$M_{p}$-GROUPS AND BRAUER CHARACTER DEGREES
- Part of
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- Journal:
- Bulletin of the Australian Mathematical Society , First View
- Published online by Cambridge University Press:
- 09 May 2025, pp. 1-5
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- Article
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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.
