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Recognition of simple groups B p (3) by the set of element orders |
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| Authors: | Rulin Shen Wujie Shi M. R. Zinov’eva |
| Affiliation: | 1. Suzhou University, Suzhou, China 2. Hubei University for Nationalities, Enshi, China 3. Ural State Technical University, Ekaterinburg, Russia |
| Abstract: | Let G be a finite group and let ω(G) be the set of its element orders. We prove that if ω(G) = ω(B p (3)) where p is an odd prime, then G ? B 3(3) or D 4(3) for p = 3 and G ? B p (3) for p > 3. |
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