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Characterization of suzuki group by nse and order of group

Abolfazl Tehranian|Ali Iranmanesh|Hosein Parvizi Mosaed
대한수학회 (The Korean Mathematical Society)|2016.05|대한수학회보 (Bulletin of the KMS)|제53권 제3호|pp. 651-656

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참고문헌

키워드

set of the numbers of elements of the same orderSuzuki group
주제분류수학

초록

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 $|Sz(2^{2m+1})|$.

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 $|Sz(2^{2m+1})|$.

참고문헌 (14)

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