(ON COMPOSITION FACTORS OF A GROUP WITH THE SAME PRIME GRAPH AS Ln(5

Abstract. The prime graph of a nite group G is denoted by ??(G). A nonabelian simple group G is called quasirecognizable by prime graph if, for every nite group H, where ??(H) = ??(G), there exists a nonabelian composition factor of H that is isomorphic to G. Until now, it has been proved that some nite linear simple groups are quasirecognizable by prime graph, for instance, the lin- ear groups Ln(2) and Ln(3) are quasirecognizable by prime graph. In this paper, we consider the quasirecognition by prime graph of the simple group Ln(5).