On recognition of finite simple groups with connected prime graph |
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| Authors: | A V Vasil’ev I B Gorshkov |
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| Institution: | (1) Sobolev Institute of Mathematics, Novosibirsk, Russia;(2) Novosibirsk State University, Novosibirsk, Russia |
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| Abstract: | The spectrum of a finite group is the set of its element orders. We prove a theorem on the structure of a finite group whose spectrum is equal to the spectrum of a finite nonabelian simple group. The theorem can be applied to solving the problem of recognizability of finite simple groups by spectrum. |
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| Keywords: | finite group finite simple group spectrum of a group prime graph of a group |
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