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Periodic Groups Saturated with the Linear Groups of Degree 2 and the Unitary Groups of Degree 3 over Finite Fields of Odd Characteristic

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Abstract

Let M denote the set of the simple 3-dimensional unitary groups U3 and the simple linear groups L2 over finite fields of odd characteristic.We prove that each periodic group saturated with groups in M is locally finite and isomorphic to either U3(Q) or L2(Q) for a suitable locally finite field Q of odd characteristic.

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Authors and Affiliations

  1. Siberian University of Telecommunications and Information Sciences, Novosibirsk, 630102, Russia

    D. V. Lytkina

  2. Novosibirsk State University, Novosibirsk, 630090, Russia

    D. V. Lytkina

  3. Institute of Space and Information Technologies, Siberian Federal University, Krasnoyarsk, 660074, Russia

    A. A. Shlepkin

Authors
  1. D. V. Lytkina
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  2. A. A. Shlepkin
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Correspondence to D. V. Lytkina.

Additional information

Original Russian Text © D.V. Lytkina and A.A. Shlepkin, 2018, published in Matematicheskie Trudy, 2018, Vol. 21, No. 1, pp. 55–72.

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Lytkina, D.V., Shlepkin, A.A. Periodic Groups Saturated with the Linear Groups of Degree 2 and the Unitary Groups of Degree 3 over Finite Fields of Odd Characteristic. Sib. Adv. Math. 28, 175–186 (2018). https://doi.org/10.3103/S1055134418030033

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