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
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.
Unable to display preview. Download preview PDF.
- 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