@article {
author = {Alavi, Seyed Hassan and Daneshkhah, Ashraf and Parvizi Mosaed, Hosein},
title = {Finite groups of the same type as Suzuki groups},
journal = {International Journal of Group Theory},
volume = {8},
number = {1},
pages = {35-42},
year = {2019},
publisher = {University of Isfahan},
issn = {2251-7650},
eissn = {2251-7669},
doi = {10.22108/ijgt.2017.21556},
abstract = {For a finite group $G$ and a positive integer $n$, let $G(n)$ be the set of all elements in $G$ such that $x^{n}=1$. The groups $G$ and $H$ are said to be of the same (order) type if $|G(n)|=|H(n)|$, for all $n$. The main aim of this paper is to show that if $G$ is a finite group of the same type as Suzuki groups $Sz(q)$, where $q=2^{2m+1}\geq 8$, then $G$ is isomorphic to $Sz(q)$. This addresses to the well-known J. G. Thompson's problem (1987) for simple groups.},
keywords = {Suzuki group,Thompson's problem,Element order},
url = {https://ijgt.ui.ac.ir/article_21556.html},
eprint = {https://ijgt.ui.ac.ir/article_21556_63d2193bfc7047cda3611ae9155ce682.pdf}
}