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

Yu Zeng; Mehdi Ghaffarzadeh; Mohsen Ghasemi; Dongfang Yang

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

Group Theory 2025-10-10 v1

Authors: Yu Zeng , Mehdi Ghaffarzadeh , Mohsen Ghasemi , Dongfang Yang

Abstract

For an irreducible complex character $\chi$ of a finite group $G$ , the \emph{codegree} of $\chi$ is defined as the ratio $|G : \ker(\chi)| / \chi(1)$ , where $\ker(\chi)$ represents the kernel of $\chi$ . In this paper, we provide a detailed characterization of finite groups of non-prime power order that have exactly four irreducible character co-degrees.

Keywords

character theory of finite groups character theory

Cite

@article{arxiv.2510.08221,
  title  = {Finite groups of non-prime-power order with exactly four character codegrees},
  author = {Yu Zeng and Mehdi Ghaffarzadeh and Mohsen Ghasemi and Dongfang Yang},
  journal= {arXiv preprint arXiv:2510.08221},
  year   = {2025}
}

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

Abstract

Keywords

Cite

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