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On the periodic groups saturated with projective linear groups

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Abstract

We prove that a periodic group, saturated with projective linear groups of dimension 2 over finite fields, is isomorphic to the projective linear group of dimension 2 over a locally finite field.

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Authors and Affiliations

  1. Siberian Federal University, Krasnoyarsk, Russia

    A. A. Shlepkin

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  1. A. A. Shlepkin
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Correspondence to A. A. Shlepkin.

Additional information

Original Russian Text Copyright © 2015 Shlepkin A.A.

The author was supported by the Ministry of Science and Education of the Russian Federation (Project B112/14) and the President of the Russian Federation (Grant MD–3952.2015.9).

Krasnoyarsk. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 56, No. 4, pp. 952–957, July–August, 2015; DOI: 10.17377/smzh.2015.56.418.

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Shlepkin, A.A. On the periodic groups saturated with projective linear groups. Sib Math J 56, 761–764 (2015). https://doi.org/10.1134/S0037446615040187

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  • DOI: https://doi.org/10.1134/S0037446615040187

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