Characterization of suzuki group by nse and order of group
Bull. Korean Math. Soc. 2016 Vol. 53, No. 3, 651-656
https://doi.org/10.4134/BKMS.b140564
Published online May 31, 2016
Ali Iranmanesh, Hosein Parvizi Mosaed, and Abolfazl Tehranian
Tarbiat Modares University, Islamic Azad University, Islamic Azad University
Abstract : 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
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