Finitely generated subgroups as von Neumann radicals of an Abelian group
Let G be an infinite Abelian group. We give a complete characterization of those finitely generated subgroups of G which are the von Neumann radicals for some Hausdorff group topologies on G. It is proved that every infinite finitely generated Abelian group admits a complete Hausdorff minimally almo...
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| Main Author: | |
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| Format: | Article |
| Language: | deu |
| Published: |
Ivan Franko National University of Lviv
2012-11-01
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| Series: | Математичні Студії |
| Subjects: | |
| Online Access: | http://matstud.org.ua/texts/2012/38_2/124-138.pdf |
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| Summary: | Let G be an infinite Abelian group. We give a complete characterization of those finitely generated subgroups of G which are the von Neumann radicals for some Hausdorff group topologies on G. It is proved that every infinite finitely generated Abelian group admits a complete Hausdorff minimally almost periodic group topology. The latter result resolves a particular case of Comfort’s problem. |
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| ISSN: | 1027-4634 |