A new characterization of chevalley groups $\mathbf{G_2 (q)}$
الموضوعات :
B. Ebrahimzadeh
1
(State Office of Education in Qaemiyeh, Fars Province, Iran)
A. R. Shabani
2
(Department of Mathematics, Imam khomaini Naval Academy, Nowshahr, Iran)
الکلمات المفتاحية: element order, the largest element order, the second largest element order, chevalley group,
ملخص المقالة :
In this paper, we prove that chevalley groups $G_2 (q)$, where $q\equiv \pm2($mod 5$)$ and $q^2+q+1$ is a prime number, can be uniquely determined by the order of the group and the second largest element order.
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