A new characterization of Chevalley groups $\mathbf{G_2(3^n)}$ by the order of the group and the number of elements with the same order

Document Type : Original Article

Authors

1 Department of Mathematics, Persian Gulf university, Boshehr, Iran

2 persian Gulf university, Bushehr,Iran.

Abstract

In this paper, we prove that chevalley groups $G_2(q)$, where $q=3^n$ and $q^2+q+1$ is a prime numbers can be uniquely determined by the order of group and the number of elements with the same order.

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