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Structure of certain classes of groups with locally cyclic Abelian subgroups

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Abstract

We investigate groups with locally cyclic Abelian subgroups. We give a constructive description of locally solvable groups of this type that contain a nonidentity periodic part; we also describe locally solvable groups all Abelian subgroups of which are cyclic.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    M. F. Kuzennyi

  2. Kiev Pedagogical Institute, Kiev

    S. V. Maznichenko

Authors
  1. M. F. Kuzennyi
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  2. S. V. Maznichenko
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 12, pp. 1614–1627, December, 1999.

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Kuzennyi, M.F., Maznichenko, S.V. Structure of certain classes of groups with locally cyclic Abelian subgroups. Ukr Math J 51, 1824–1838 (1999). https://doi.org/10.1007/BF02525140

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  • DOI: https://doi.org/10.1007/BF02525140

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