Decomposability of topological groups
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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.
KeywordsAbelian Group Finite Order Topological Abelian Group Nontrivial Automorphism Countable Character
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- 6.E. G. Zelenyuk, Finite Groups in βℕ Are Trivial [in Russian] Preprint No. 96. 3, Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1996).Google Scholar
© Kluwer Academic/Plenum Publishers 1999