Huppert's analogue conjecture for $\PSL(3,q)$ and $\PSU(3,q)$

Yang Liu; Yong Yang

Huppert's analogue conjecture for $\PSL(3,q)$ and $\PSU(3,q)$

Group Theory 2022-09-07 v1

Authors: Yang Liu , Yong Yang

Abstract

Let $G$ be a finite group and $\chi\in \irr(G)$ . The codegree of $\chi$ is defined as $\cod(\chi)=\frac{|G:\ker(\chi)|}{\chi(1)}$ and $\cod(G)=\{\cod(\chi) \ |\ \chi\in \irr(G)\}$ is called the set of codegrees of $G$ . In this paper, we show that the set of codegrees of $\PSL(3,q)$ and $\PSU(3,q)$ determines the group up to isomorphism.

Keywords

finite groups codegrees huppert conjecture psl(3,q) psu(3,q) character theory

Cite

@article{arxiv.2209.02660,
  title  = {Huppert's analogue conjecture for $\PSL(3,q)$ and $\PSU(3,q)$},
  author = {Yang Liu and Yong Yang},
  journal= {arXiv preprint arXiv:2209.02660},
  year   = {2022}
}

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