@ARTICLE{Khalili Asboei,
author = {Khalili Asboei, A.R. and },
title = {Characterization of $mathrm{PSL}(5,q)$ by its Order and One Conjugacy Class Size},
volume = {15},
number = {1},
abstract ={Let $p=(q^4+q^3+q^2+q+1)/(5,q-1)$ be a prime number, where $q$ is a prime power. In this paper, we will show $Gcong mathrm{PSL}(5,q)$ if and only if $|G|=|mathrm{PSL}(5,q)|$, and $G$ has a conjugacy class size $frac{| mathrm{PSL}(5,q)|}{p}$. Further, the validity of a conjecture of J. G. Thompson is generalized to the groups under consideration by a new way. },
URL = {http://ijmsi.ir/article-1-1061-en.html},
eprint = {http://ijmsi.ir/article-1-1061-en.pdf},
journal = {Iranian Journal of Mathematical Sciences and Informatics},
doi = {10.29252/ijmsi.15.1.35},
year = {2020}
}