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Ukrainian Mathematical Journal

, Volume 51, Issue 12, pp 1824–1838 | Cite as

Structure of certain classes of groups with locally cyclic Abelian subgroups

  • M. F. Kuzennyi
  • S. V. Maznichenko
Article
  • 25 Downloads

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.

Keywords

Finite Group Cyclic Group Nilpotent Group Quotient Group Abelian Subgroup 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Kluwer Academic/Plenum Publishers 2000

Authors and Affiliations

  • M. F. Kuzennyi
    • 1
  • S. V. Maznichenko
    • 2
  1. 1.Institute of MathematicsUkrainian Academy of SciencesKiev
  2. 2.Kiev Pedagogical InstituteKiev

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