Some remarks on super $M_{p}$-groups

期刊论文
发表日期：

2026年5月21日

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Xiaoyou Chen,
Ali Reza Moghaddamfar

摘要

Let G be a finite group and p be a prime divisor of |G|. An irreducible p-Brauer character $\varphi $ $φ$ of G is called super-monomial if every primitive p-Brauer character inducing $\varphi $ $φ$ is linear. The group G is said to be a super $M_{p}$ $M_{p}$ -group if every irreducible p-Brauer character of G is super-monomial. In this note, we investigate the conditions under which a finite group G qualifies as a super $M_{p}$ $M_{p}$ -group. We demonstrate that every normal subgroup of a super $M_{p}$ $M_{p}$ -group of odd order is an $M_{p}$ $M_{p}$ -group.

Some remarks on super \(M_{p}\)-groups

摘要