Characterization of the Chevalley group $G_{2}(5)$ by the set of numbers of the same order elements
Let $G$ be a group and $\omega(G)=\{o(g)|g\in G\}$ be the set of element orders of $G$. Let $k\in\omega(G)$ and $s_{k}=|\{g\in G|o(g)=k\}|$. Let $nse(G)=\{s_{k}|k\in\omega(G)\}.$ In this paper, we prove that if $G$ is a group and $G_{2}(5)$ is the Chevalley simple group of type $G_{2}$ over $GF(5)$...
Furkejuvvon:
| Váldodahkkit: | , |
|---|---|
| Materiálatiipa: | Artigo |
| Giella: | Inglês |
| Almmustuhtton: |
University of Isfahan
2022-03-01
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| Ráidu: | International Journal of Group Theory |
| Fáttát: | |
| Liŋkkat: | https://ijgt.ui.ac.ir/article_25484_884d817927f944f400891de68acb7d1f.pdf |
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