AU - Salehi Amiri, S. S.
AU - Khalili Asboei, A.R.
TI - Recognition of $L_{2}(q)$ by the Main Supergraph
PT - JOURNAL ARTICLE
TA - IJMSI
JN - IJMSI
VO - 16
VI - 1
IP - 1
4099 - http://ijmsi.ir/article-1-1273-en.html
4100 - http://ijmsi.ir/article-1-1273-en.pdf
SO - IJMSI 1
ABĀ - 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 Thompsonchr('39')s problem holds for the simple group $L_{2}(q)$.
CP - IRAN
IN - Department of Mathematics, Farhangian University, Tehran, Iran
LG - eng
PB - IJMSI
PG - 137
PT - Research paper
YR - 2021