Xiao-You Chen

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math.GR2026

Some Remarks on Super $M_{p}$ -groups

Xiaoyou Chen, A. R. Moghaddamfar

Let $G$ be a finite group and $p$ be a prime divisor of $∣ G ∣$ . An irreducible $p$ -Brauer character $φ$ of $G$ is called super-monomial if every primitive $p$ -Brauer character induc…

math.GR2025

Isaacs' Generalization of Taketa's theorem

Xiaoyou Chen, Mark L. Lewis

We generalize the definition of pseudo monomial characters and $M$ -groups to the Brauer character and Isaacs' $π$ -partial character settings. We prove an analogs of Isaacs's genera…

math.GR2025

A converse for a theorem of Gallagher

Xiaoyou Chen, Mark L. Lewis

Let $G$ be a finite group. Suppose $N$ is a normal subgroup of $G$ . Recall that Gallagher's theorem states that if $χ \in Irr (G)$ satisfies $χ_{N}$ is irreducible, then $χ β$ is…

math.GR2025

$M$ -groups and Codegrees; $M_{p}$ -groups and Brauer Character Degrees

Xiaoyou Chen, Mark L. Lewis

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 every irreducible Brauer chara…

Some Remarks on Super Mp​-groups

Isaacs' Generalization of Taketa's theorem

A converse for a theorem of Gallagher

M-groups and Codegrees; Mp​-groups and Brauer Character Degrees

Some Remarks on Super $M_{p}$ -groups

$M$ -groups and Codegrees; $M_{p}$ -groups and Brauer Character Degrees