The validity of a Thompsons problem for $\rm{PSL(4,7)}$
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 ${\rm nse}(G)=\{s_n| n\in\pi_e(G)\}$. In this paper we prove that if $G$ is a group such that ${\rm nse}(G)= {\rm nse}(\rm PSL(4,7))$, $19\big\vert|G|$ and $19^2\nmid|G|$, then $G\co...
Main Authors: | , |
---|---|
Format: | Article |
Language: | English |
Published: |
Amirkabir University of Technology
2020-02-01
|
Series: | AUT Journal of Mathematics and Computing |
Subjects: | |
Online Access: | https://ajmc.aut.ac.ir/article_3746_c15795a34e3e77400bdbc8563d65144d.pdf |