Shahrood University of TechnologyJournal of Algebraic Systems2345-51284120160901ON COMPOSITION FACTORS OF A GROUP WITH THE SAME PRIME GRAPH AS Ln(5)375172710.22044/jas.2016.727ENA.MahmoudifarDepartment of Mathematics, Tehran North Branch, Islamic Azad University, Tehran,
IRAN.0000-0001-6380-3132Journal Article20151121The prime graph of a finite group $G$ is denoted by<br />$ga(G)$. A nonabelian simple group $G$ is called quasirecognizable by prime<br />graph, if for every finite group $H$, where $ga(H)=ga(G)$, there<br />exists a nonabelian composition factor of $H$ which is isomorphic to<br />$G$. Until now, it is proved that some finite linear simple groups are<br />quasirecognizable by prime graph, for instance, the linear groups $L_n(2)$ and $L_n(3)$ are quasirecognizable by prime graph. In this paper, we consider the<br />quasirecognition by prime graph of the simple group $L_n(5)$.http://jas.shahroodut.ac.ir/article_727_c70536bdd3b43cb9e978c4423102d125.pdf