CHARACTERIZATION OF SUZUKI GROUP BY NSE AND ORDER OF GROUP

Title & Authors
CHARACTERIZATION OF SUZUKI GROUP BY NSE AND ORDER OF GROUP
Iranmanesh, Ali; Mosaed, Hosein Parvizi; Tehranian, Abolfazl;

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 $\small{Sz(2^{2m+1})}$, where $\small{2^{2m+1}-1}$ is a prime number, is uniquely determined by $\small{nse(Sz(2^{2m+1}))}$ and $\small{{\mid}Sz(2^{2m+1}){\mid}}$.
Keywords
set of the numbers of elements of the same order;Suzuki group;
Language
English
Cited by
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