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

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.

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Bibliographic Details
Main Authors: Behnam Ebrahimzadeh, Hamid Shahbandarzadeh
Format: Article
Language:English
Published: Amirkabir University of Technology 2025-07-01
Series:AUT Journal of Mathematics and Computing
Subjects:
Online Access:https://ajmc.aut.ac.ir/article_5385_2101c55d071c8dd0374c82d7a158d99c.pdf
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