TY - JOUR
ID - 727
TI - ON COMPOSITION FACTORS OF A GROUP WITH THE SAME PRIME GRAPH AS Ln(5)
JO - Journal of Algebraic Systems
JA - JAS
LA - en
SN - 2345-5128
AU - Mahmoudifar, A.
AD - Department of Mathematics, Tehran North Branch, Islamic Azad University, Tehran,
IRAN.
Y1 - 2016
PY - 2016
VL - 4
IS - 1
SP - 37
EP - 51
KW - projective special linear group
KW - prime graph
KW - element order
DO - 10.22044/jas.2016.727
N2 - 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 $L_n(5)$.
UR - https://jas.shahroodut.ac.ir/article_727.html
L1 - https://jas.shahroodut.ac.ir/article_727_c70536bdd3b43cb9e978c4423102d125.pdf
ER -