Amirkabir University of Technology AUT Journal of Mathematics and Computing 2783-2449 6 3 2025 07 01 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 217 221 5385 10.22060/ajmc.2024.22566.1173 EN Behnam Ebrahimzadeh Department of Mathematics, Persian Gulf University, Bushehr, Iran 0000-0001-5696-275X Hamid Shahbandarzadeh Department of Mathematics, Persian Gulf University, Bushehr, Iran Journal Article 2023 07 19 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. https://ajmc.aut.ac.ir/article_5385_03227b950778ab86436ff79fe975b596.pdf