Characterization of the finite simple groups by spectrum and order |
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| Authors: | A. V. Vasil’ev M. A. Grechkoseeva V. D. Mazurov |
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| Affiliation: | 1.Sobolev Institute of Mathematics, Siberian Branch,Russian Academy of Sciences,Novosibirsk,Russia;2.Novosibirsk State University,Novosibirsk,Russia |
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| Abstract: | We give an affirmative answer to Question 12.39 in the Kourovka Notebook. Namely, it is proved that a finite simple group and a finite group having equal orders and same sets of element orders are isomorphic. |
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