@article {
author = {Khosravi, Behrooz and Kalantarpour, Cyrus},
title = {The Validity of a Thompsonâ€™s Problem for PSL(4, 7)},
journal = {AUT Journal of Mathematics and Computing},
volume = {1},
number = {1},
pages = {89-94},
year = {2020},
publisher = {Amirkabir University of Technology},
issn = {2783-2449},
eissn = {2783-2287},
doi = {10.22060/ajmc.2019.16174.1022},
abstract = {Let $pi_e(G)$ be the set of elements orders of $ G$. Also let $ s_n$ be the number of elements of order $n$ in $G $ and ${rm nse}(G)= lbrace s_nmid nin pi_e(G) rbrace $.In this paper we prove that if $ G$ is a group such that ${rm nse}(G)= {rm nse}(rm PSL(4,7)) $, $19bigvert|G|$ and $19^2nmid|G|$, then $ Gcong rm PSL(4,7)$. As a consequence of this result it follows that Thompson's problem is satisfied for the simple group $rm PSL(4,7)$.},
keywords = {Thompsonâ€™s problem,Characterization,Number of elements of the same order,Projective special linear group,Hall subgroup,NSE,Sporadic groups,Python},
url = {https://ajmc.aut.ac.ir/article_3746.html},
eprint = {https://ajmc.aut.ac.ir/article_3746_c15795a34e3e77400bdbc8563d65144d.pdf}
}