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Recognition by spectrum for finite simple groups of Lie type

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Abstract

The goal of this article is to survey new results on the recognition problem. We focus our attention on the methods recently developed in this area. In each section, we formulate related open problems. In the last two sections, we review arithmetical characterization of spectra of finite simple groups and conclude with a list of groups for which the recognition problem was solved within the last three years.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk, Russia

    Maria A. Grechkoseeva & Andrey V. Vasilev

  2. School of Mathematical Sciences, Suzhou University, Suzhou, 215006, China

    Wujie Shi

Authors
  1. Maria A. Grechkoseeva
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  2. Wujie Shi
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  3. Andrey V. Vasilev
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Correspondence to Wujie Shi.

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Grechkoseeva, M.A., Shi, W. & Vasilev, A.V. Recognition by spectrum for finite simple groups of Lie type. Front. Math. China 3, 275–285 (2008). https://doi.org/10.1007/s11464-008-0018-9

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  • DOI: https://doi.org/10.1007/s11464-008-0018-9

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