Finite groups in which every irreducible character has either $p'$-degree or $p'$-codegree

Guohua Qian; Yu Zeng

Finite groups in which every irreducible character has either $p'$-degree or $p'$-codegree

Group Theory 2025-11-13 v2

Authors: Guohua Qian , Yu Zeng

Abstract

For an irreducible complex character $\chi$ of a finite group $G$ , the codegree of $\chi$ is defined by $|G:\ker(\chi)|/\chi(1)$ , where $\ker(\chi)$ is the kernel of $\chi$ . Given a prime $p$ , we provide a classification of finite groups in which every irreducible complex character has either $p'$ -degree or $p'$ -codegree.

Keywords

character theory character theory of finite groups finite groups

Cite

@article{arxiv.2411.04478,
  title  = {Finite groups in which every irreducible character has either $p'$-degree or $p'$-codegree},
  author = {Guohua Qian and Yu Zeng},
  journal= {arXiv preprint arXiv:2411.04478},
  year   = {2025}
}

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