%0 Journal Article
%T ON COMPOSITION FACTORS OF A GROUP WITH THE SAME PRIME GRAPH AS Ln(5)
%J Journal of Algebraic Systems
%I Shahrood University of Technology
%Z 2345-5128
%A Mahmoudifar, A.
%D 2016
%\ 09/01/2016
%V 4
%N 1
%P 37-51
%! ON COMPOSITION FACTORS OF A GROUP WITH THE SAME PRIME GRAPH AS Ln(5)
%K projective special linear group
%K prime graph
%K element order
%R 10.22044/jas.2016.727
%X The prime graph of a finite group $G$ is denoted by$ga(G)$. A nonabelian simple group $G$ is called quasirecognizable by primegraph, if for every finite group $H$, where $ga(H)=ga(G)$, thereexists a nonabelian composition factor of $H$ which is isomorphic to$G$. Until now, it is proved that some finite linear simple groups arequasirecognizable 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 thequasirecognition by prime graph of the simple group $L_n(5)$.
%U https://jas.shahroodut.ac.ir/article_727_c70536bdd3b43cb9e978c4423102d125.pdf