@article { author = {Mahmoudifar, A.}, title = {ON COMPOSITION FACTORS OF A GROUP WITH THE SAME PRIME GRAPH AS Ln(5)}, journal = {Journal of Algebraic Systems}, volume = {4}, number = {1}, pages = {37-51}, year = {2016}, publisher = {Shahrood University of Technology}, issn = {2345-5128}, eissn = {2345-511X}, doi = {10.22044/jas.2016.727}, abstract = {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 $L_n(5)$.}, keywords = {projective special linear group,prime graph,element order}, url = {https://jas.shahroodut.ac.ir/article_727.html}, eprint = {https://jas.shahroodut.ac.ir/article_727_c70536bdd3b43cb9e978c4423102d125.pdf} }