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On the structure of groups whose non-abelian subgroups are subnormal

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Central European Journal of Mathematics

Abstract

The main aim of this article is to examine infinite groups whose non-abelian subgroups are subnormal. In this sense we obtain here description of such locally finite groups and, as a consequence we show several results related to such groups.

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Authors and Affiliations

  1. Department of Algebra, National University of Dnepropetrovsk, 72 Gagarin Av., 49010, Dnepropetrovsk, Ukraine

    Leonid A. Kurdachenko

  2. Faculty of Education, Department of Mathematics, Gazi University, 06500, Teknikokullar, Ankara, Turkey

    Sevgi Atlıhan

  3. Department of Mathematics, National State Tax Service Academy of Ukraine, 09200, Irpen, Ukraine

    Nikolaj N. Semko

Authors
  1. Leonid A. Kurdachenko
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  2. Sevgi Atlıhan
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  3. Nikolaj N. Semko
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Correspondence to Leonid A. Kurdachenko.

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Kurdachenko, L.A., Atlıhan, S. & Semko, N.N. On the structure of groups whose non-abelian subgroups are subnormal. centr.eur.j.math. 12, 1762–1771 (2014). https://doi.org/10.2478/s11533-014-0444-8

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  • DOI: https://doi.org/10.2478/s11533-014-0444-8

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