Dongfang Yang

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20222026

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math.GR2026

On prime divisors of character degrees and codegrees

Dongfang Yang

Let $G$ be a finite group, and let $Irr (G)$ denote the set of irreducible complex characters of $G$ . For $ε \in {\pm}$ , we define $\mathrm{cd}_ε(G)=\{ χ_ε(1)\mid χ\in \…

math.GR2025

Finite groups of non-prime-power order with exactly four character codegrees

Yu Zeng, Mehdi Ghaffarzadeh, Mohsen Ghasemi +1

For an irreducible complex character $χ$ of a finite group $G$, the \emph{codegree} of $χ$ is defined as the ratio $|G : \ker(χ)| / χ(1)$, where $\ker(χ)$ represents the…

math.GR2023

Finite groups with a small proportion of vanishing elements

Dongfang Yang, Yu Zeng, Silvio Dolfi

The function $P_{v} (G)$ , measuring the proportion of the elements of a finite group $G$ that are zeros of irreducible characters of $G$ , takes (as proved in [12])…

math.GR2022

Character degrees of normally monomial p-groups of maximal class

Dongfang Yang, Heng Lv

A finite group $G$ is $n or ma l l y m o n o mia l$ if all its irreducible characters are induced from linear characters of normal subgroups of $G$ . In this paper, we determine all possible…