@ARTICLE{Khalili Asboei,
author = {Salehi Amiri, S. S. and Khalili Asboei, A.R. and },
title = {Recognition of $L_{2}(q)$ by the Main Supergraph},
volume = {16},
number = {1},
abstract ={Let $G$ be a finite group. The main supergraph $mathcal{S}(G)$ is a graph with vertex set $G$ in which two vertices $x$ and $y$ are adjacent if and only if $o(x) mid o(y)$ or $o(y)mid o(x)$. In this paper, we will show that $Gcong L_{2}(q)$ if and only if $mathcal{S}(G)cong mathcal{S} (L_{2}(q))$, where $q$ is a prime power. This work implies that Thompson's problem holds for the simple group $L_{2}(q)$. },
URL = {http://ijmsi.ir/article-1-1273-en.html},
eprint = {http://ijmsi.ir/article-1-1273-en.pdf},
journal = {Iranian Journal of Mathematical Sciences and Informatics},
doi = {},
year = {2021}
}