Bull. Korean Math. Soc. 2016; 53(3): 651-656
Printed May 31, 2016
https://doi.org/10.4134/BKMS.b140564
Copyright © The Korean Mathematical Society.
Ali Iranmanesh, Hosein Parvizi Mosaed, and Abolfazl Tehranian
Tarbiat Modares University, Islamic Azad University, Islamic Azad University
Let $G$ be a finite group and $\nse(G)$ be the set of numbers of elements of $G$ of the same order. In this paper, we prove that the simple group $Sz(2^{2m+1})$, where $2^{2m+1}-1$ is a prime number, is uniquely determined by $\nse(Sz(2^{2m+1}))$ and $|Sz(2^{2m+1})|$.
Keywords: set of the numbers of elements of the same order, Suzuki group
MSC numbers: Primary 20D60; Secondary 20D06
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd