Xiao-You Chen

collaborators

5 papers

math.CO2026

Factorizations of Matrices With Recursive Entries and Related Topics

Xiao You Chen, Ali Reza Moghaddamfar, Kambiz Moghaddamfar

This article examines matrices whose entries are determined by recursive relations of the form $A_{i, j} = x A_{i, j - 1} + y A_{i - 1, j - 1} + z A_{i - 1, j}$ , where $x, y, z$ are consta…

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…

Factorizations of Matrices With Recursive Entries and Related Topics

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