The prime graph of a finite group $G$ is denoted by $ga(G)$. A nonabelian simple group $G$ is called quasirecognizable by prime graph, if for every finite group $H$, where $ga(H)=ga(G)$, there exists a nonabelian composition factor of $H$ which is isomorphic to $G$. Until now, it is proved that some finite linear simple groups are 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 quasirecognition by prime graph of the simple group $L_n(5)$.
Mahmoudifar, A. (2016). ON COMPOSITION FACTORS OF A GROUP WITH THE SAME PRIME GRAPH AS Ln(5). Journal of Algebraic Systems, 4(1), 37-51. doi: 10.22044/jas.2016.727
MLA
A. Mahmoudifar. "ON COMPOSITION FACTORS OF A GROUP WITH THE SAME PRIME GRAPH AS Ln(5)", Journal of Algebraic Systems, 4, 1, 2016, 37-51. doi: 10.22044/jas.2016.727
HARVARD
Mahmoudifar, A. (2016). 'ON COMPOSITION FACTORS OF A GROUP WITH THE SAME PRIME GRAPH AS Ln(5)', Journal of Algebraic Systems, 4(1), pp. 37-51. doi: 10.22044/jas.2016.727
VANCOUVER
Mahmoudifar, A. ON COMPOSITION FACTORS OF A GROUP WITH THE SAME PRIME GRAPH AS Ln(5). Journal of Algebraic Systems, 2016; 4(1): 37-51. doi: 10.22044/jas.2016.727