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On the structure of finite groups isospectral to an alternating group

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Abstract

It is proved that every finite group isospectral to an alternating group A n of degree n greater than 21 has a chief factor isomorphic to an alternating group A k , where k ≤ n and the half-interval (k, n] contains no primes.

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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

    I. A. Vakula

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  1. I. A. Vakula
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Correspondence to I. A. Vakula.

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Original Russian Text © I.A. Vakula, 2010, published in Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2010, Vol. 16, No. 3.

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Vakula, I.A. On the structure of finite groups isospectral to an alternating group. Proc. Steklov Inst. Math. 272 (Suppl 1), 271–286 (2011). https://doi.org/10.1134/S0081543811020192

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