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