A new characterization of chevalley groups $\mathbf{G_2 (q)}$

محورهای موضوعی : Group theory

B. Ebrahimzadeh ¹ , A. R. Shabani ²

1 - State Office of Education in Qaemiyeh, Fars Province, Iran
2 - Department of Mathematics, Imam khomaini Naval Academy, Nowshahr, Iran

تاریخ دریافت : 1401/06/14 تاریخ پذیرش : 1401/09/23 تاریخ انتشار : 1401/09/10

کلید واژه: element order, the largest element order, the second largest element order, chevalley group,

چکیده مقاله :

‎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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