A new characterization of Chevalley groups $\mathrm{G}_2(3^n)$ by the order of the group and the number of elements with the same order

	A new characterization of Chevalley groups $\mathrm{G}_2(3^n)$ by the order of the group and the number of elements with the same order
AUT Journal of Mathematics and Computing
مقاله 3، دوره 6، شماره 3، 2025، صفحه 217-221 اصل مقاله (370.93 K)
نوع مقاله: Short Contribution
شناسه دیجیتال (DOI): 10.22060/ajmc.2024.22566.1173
نویسندگان
Behnam Ebrahimzadeh^* ؛ Hamid Shahbandarzadeh
Department of Mathematics, Persian Gulf University, Bushehr, Iran
چکیده
In this paper, we prove that Chevalley groups $G_2(q)$, where $q=3^n$ and $q^2+q+1$ is a prime number, can be uniquely determined by the order of group and the number of elements with the same order.
کلیدواژه‌ها
Element order؛ Prime graph؛ Chevalley group
مراجع

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