Ukrainian Mathematical Journal

, Volume 51, Issue 1, pp 44–50 | Cite as

Decomposability of topological groups

  • E. G. Zelenyuk


We prove that every countable Abelian group with finitely many second-order elements can be decomposed into countably many subsets that are dense in any nondiscrete group topology.


Abelian Group Finite Order Topological Abelian Group Nontrivial Automorphism Countable Character 
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Copyright information

© Kluwer Academic/Plenum Publishers 1999

Authors and Affiliations

  • E. G. Zelenyuk

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