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Recognition by spectrum for simple classical groups in characteristic 2

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Abstract

A finite group G is said to be recognizable by spectrum if every finite group with the same set of element orders as G is isomorphic to G. We prove that all finite simple symplectic and orthogonal groups over fields of characteristic 2, except S 4(q), S 6(2), O +8 (2), and S 8(q), are recognizable by spectrum. This result completes the study of the recognition-by-spectrum problem for finite simple classical groups in characteristic 2.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk, Russia

    A. V. Vasil’ev & M. A. Grechkoseeva

  2. Novosibirsk State University, Novosibirsk, Russia

    A. V. Vasil’ev & M. A. Grechkoseeva

Authors
  1. A. V. Vasil’ev
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  2. M. A. Grechkoseeva
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Correspondence to A. V. Vasil’ev.

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Original Russian Text Copyright © 2015 Vasil’ev A.V. and Grechkoseeva M.A.

Novosibirsk. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 56, No. 6, pp. 1264–1276, November–December, 2015; DOI: 10.17377/smzh.2015.56.605.

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Vasil’ev, A.V., Grechkoseeva, M.A. Recognition by spectrum for simple classical groups in characteristic 2. Sib Math J 56, 1009–1018 (2015). https://doi.org/10.1134/S0037446615060051

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  • DOI: https://doi.org/10.1134/S0037446615060051

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