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Periodic Groups Saturated with Finite Simple Symplectic Groups of Dimension 6 over Fields of Odd Characteristics

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Abstract

We prove that a periodic group is locally finite, if its every finite subgroup lies in a subgroup isomorphic to a simple symplectic group of dimension 6 over some field of odd order and the centralizer of every involution of this group is locally finite. Moreover, such group is isomorphic to a simple symplectic group of dimension 6 over a suitable locally finite field of odd characteristic.

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References

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Funding

The work was supported by the Russian Science Foundation (Grant no. 19–11–00039).

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk, Russia

    D. V. Lytkina & V. D. Mazurov

  2. Siberian State University of Telecommunications and Information Sciences, Novosibirsk, Russia

    D. V. Lytkina

  3. Novosibirsk State University, Novosibirsk, Russia

    D. V. Lytkina & V. D. Mazurov

Authors
  1. D. V. Lytkina
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  2. V. D. Mazurov
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Corresponding author

Correspondence to D. V. Lytkina.

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, 2022, Vol. 63, No. 6, pp. 1308–1312. https://doi.org/10.33048/smzh.2022.63.611

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Lytkina, D.V., Mazurov, V.D. Periodic Groups Saturated with Finite Simple Symplectic Groups of Dimension 6 over Fields of Odd Characteristics. Sib Math J 63, 1117–1120 (2022). https://doi.org/10.1134/S0037446622060118

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  • DOI: https://doi.org/10.1134/S0037446622060118

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