Bulletin of the Korean Mathematical Society (대한수학회보)

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CHARACTERIZATION OF SUZUKI GROUP BY NSE AND ORDER OF GROUP

  • Received : 2014.07.22
  • Published : 2016.05.31
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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 ${\mid}Sz(2^{2m+1}){\mid}$.

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References

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