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

Abstract

Let $G$ be a finite group and $χ\in \irr(G)$. The codegree of $\chi$ is defined as $\cod(χ)=\frac{|G:\ker(χ)|}{χ(1)}$ and $\cod(G)=\{\cod(χ) \ |\ χ\in \irr(G)\}$ 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.