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http://dx.doi.org/10.4134/BKMS.b140564

CHARACTERIZATION OF SUZUKI GROUP BY NSE AND ORDER OF GROUP  

Iranmanesh, Ali (Department of Mathematics Tarbiat Modares University)
Mosaed, Hosein Parvizi (Department of Mathematics Science and Research Branch Islamic Azad University)
Tehranian, Abolfazl (Department of Mathematics Science and Research Branch Islamic Azad University)
Publication Information
Bulletin of the Korean Mathematical Society / v.53, no.3, 2016 , pp. 651-656 More about this Journal
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 ${\mid}Sz(2^{2m+1}){\mid}$.
Keywords
set of the numbers of elements of the same order; Suzuki group;
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