论文标题
$ \ psl(3,q)$和$ \ psu(3,q)$的Huppert的模拟猜想
Huppert's analogue conjecture for $\PSL(3,q)$ and $\PSU(3,q)$
论文作者
论文摘要
令$ g $为有限的组,$χ\ in \ inr(g)$。 $χ$的代码定义为 $ \ cod(χ)= \ frac {| g:\ ker(χ)|} {χ(1)} $和$ \ cod(g)= \ {\ cod(χ)\ | \χ\ in \ inr(g)\} $。在本文中,我们表明$ \ psl(3,q)$和$ \ psu(3,q)$的代码集确定了该组达到同构。
Let $G$ be a finite group and $χ\in \irr(G)$. The codegree of $χ$ 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.