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Recognizability of groups G 2(q) by spectrum

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Algebra and Logic Aims and scope

Two groups are said to be isospectral if they have equal sets of element orders. It is proved that for every finite simple exceptional group L = G 2(q) of Lie type, any finite group G isospectral to L must be isomorphic to L.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia

    A. V. Vasil’ev* & A. M. Staroletov**

  2. Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia

    A. V. Vasil’ev*

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

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Dedicated to V. D. Mazurov on the occasion of his 70th birthday

*Supported by RFBR (project Nos. 11-01-91158 and 12-01-90006) and by the SB RAS Program for Basic Research Partnership Projects for 2012–2014 (project No. 14).

**Supported by RFBR (project No. 12-01-31221) and by the SB RAS Program for Basic Research Partnership Projects for 2012–2014 (project No. 14).

Translated from Algebra i Logika, Vol. 52, No. 1, pp. 3–21, January-February, 2013.

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Vasil’ev*, A.V., Staroletov**, A.M. Recognizability of groups G 2(q) by spectrum. Algebra Logic 52, 1–14 (2013). https://doi.org/10.1007/s10469-013-9214-0

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  • DOI: https://doi.org/10.1007/s10469-013-9214-0

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