@article {
author = {Ahanjideh, N. and Mousavi, L. and Taeri, B.},
title = {NSE characterization of some linear groups},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {43},
number = {5},
pages = {1531-1542},
year = {2017},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {For a finite group $G$, let $nse(G)=\{m_k\mid k\in\pi_e(G)\}$, where $m_k$ is the number of elements of order $k$ in $G$ and $\pi_{e}(G)$ is the set of element orders of $G$. In this paper, we prove that $G\cong L_m(2)$ if and only if $p\mid |G|$ and $nse(G)=nse(L_m(2))$, where $m\in \{n,n+1\}$ and $2^n-1=p$ is a prime number.},
keywords = {Set of the numbers of elements of the same order,prime graph,Mersenne number},
url = {http://bims.iranjournals.ir/article_1058.html},
eprint = {http://bims.iranjournals.ir/article_1058_2c5b6c17ba5cdd918988ed6c7b89c0df.pdf}
}