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Characterization of Simple Symplectic Groups of Degree 4 over Locally Finite Fields in the Class of Periodic Groups

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Algebra and Logic Aims and scope

Let G be a periodic group containing an element of order 2 such that each of its finite subgroups of even order lies in a finite subgroup isomorphic to a simple symplectic group of degree 4. It is shown that G is isomorphic to a simple symplectic group S4(Q) of degree 4 over some locally finite field Q.

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Authors and Affiliations

  1. Siberian State University of Telecommunications and Information Sciences, ul. Kirova 86, Novosibirsk, 630102, Russia

    D. V. Lytkina

  2. Novosibirsk State University, ul. Pirogova 1, Novosibirsk, 630090, Russia

    D. V. Lytkina & V. D. Mazurov

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

    V. D. Mazurov

Authors
  1. D. V. Lytkina
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  2. V. D. Mazurov
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Correspondence to D. V. Lytkina.

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Translated from Algebra i Logika, Vol. 57, No. 3, pp. 306-320, May-June, 2018.

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Lytkina, D.V., Mazurov, V.D. Characterization of Simple Symplectic Groups of Degree 4 over Locally Finite Fields in the Class of Periodic Groups. Algebra Logic 57, 201–210 (2018). https://doi.org/10.1007/s10469-018-9493-6

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  • DOI: https://doi.org/10.1007/s10469-018-9493-6

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