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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، مهر 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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