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1 - A new characterization of chevalley groups $\mathbf{G_2 (q)}$Journal of Linear and Topological Algebra , Issue 5 , Year , Autumn 2022In 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.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. Manuscript profile
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