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The F-local subgroups of the groups with a generalized finite element of order 2 or 4

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Abstract

We prove the existence of infinite subgroups with nontrivial locally finite radicals and of infinite locally finite subgroups in the groups with almost finite almost solvable elements of order 2 and 4 and in the groups with almost finite elements.

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Authors and Affiliations

  1. Siberian Federal University, Russia

    A. I. Sozutov & M. V. Yanchenko

  2. Institute of Architecture and Construction Krasnoyarsk, Russia

    A. I. Sozutov & M. V. Yanchenko

Authors
  1. A. I. Sozutov
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  2. M. V. Yanchenko
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Corresponding author

Correspondence to A. I. Sozutov.

Additional information

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 48, No. 5, pp. 1147–1154, September–October, 2007.

Original Russian Text Copyright © 2007 Sozutov A. I. and Yanchenko M. V.

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Sozutov, A.I., Yanchenko, M.V. The F-local subgroups of the groups with a generalized finite element of order 2 or 4. Sib Math J 48, 923–928 (2007). https://doi.org/10.1007/s11202-007-0095-0

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  • DOI: https://doi.org/10.1007/s11202-007-0095-0

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