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

Yang Liu; Yong Yang

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arXiv · 2209.02660

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

Yang Liu·Yong Yang

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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.

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BibTeX RIS

Yang Liu, Yong Yang. 2022-09-06. Huppert's analogue conjecture for $\PSL(3,q)$ and $\PSU(3,q)$. https://arxiv.org/abs/2209.02660

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