Partitions of groups into absolutely dense subsets |
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| Authors: | E. G. Zelenyuk |
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| Affiliation: | (1) Ya. S. Pidstrigach Institute of Applied Problems in Mechanics and Mathematics, National Academy of Sciences of Ukraine, Lvov |
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| Abstract: | It is proved that any infinite Abelian group with finitely many elements of order two can be partitioned into two subsets that are dense in any nondiscrete group topology, and hence contain no cosets of infinite subgroups. Translated fromMatematicheskie Zametki, Vol. 67, No. 5, pp. 706–711, May, 2000. |
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| Keywords: | infinite Abelian group resolvable group Boolean part of a group |
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