Recognition of the groups E7(2) and E7(3) by prime graph |
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| Authors: | A. S. Kondrat’ev |
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| Affiliation: | 1.Institute of Mathematics and Mechanics,Ural Branch of the Russian Academy of Sciences,Yekaterinburg,Russia;2.Institute of Mathematics and Computer Science,Ural Federal University,Yekaterinburg,Russia |
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| Abstract: | It is proved that the groups E 7(2) and E 7(3) are recognizable by their prime graphs. As a corollary, this completes the proof of V.D. Mazurov’s conjecture that every finite simple group whose prime graph has at least three connected components is either recognizable by spectrum or isomorphic to A 6. |
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