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Recognition of the groups E 7(2) and E 7(3) by prime graph

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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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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, ul. S. Kovalevskoi 16, Yekaterinburg, 620990, Russia

    A. S. Kondrat’ev

  2. Institute of Mathematics and Computer Science, Ural Federal University, pr. Lenina 51, Yekaterinburg, 620000, Russia

    A. S. Kondrat’ev

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  1. A. S. Kondrat’ev
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Correspondence to A. S. Kondrat’ev.

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Original Russian Text © A.S. Kondrat’ev, 2014, published in Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2014, Vol. 20, No. 2.

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Kondrat’ev, A.S. Recognition of the groups E 7(2) and E 7(3) by prime graph. Proc. Steklov Inst. Math. 289 (Suppl 1), 139–145 (2015). https://doi.org/10.1134/S0081543815050120

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