Coatomic connected groups (Q923737)
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scientific article; zbMATH DE number 4171244
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Coatomic connected groups |
scientific article; zbMATH DE number 4171244 |
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Coatomic connected groups (English)
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1988
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The authors proves that in any nontrivial connected locally compact group there is a closed subgroup that is not an intersection of maximal closed subgroups. This is a solution of Problem VII.13b from the collection Unsolved problems in topological algebra [Preprint, Kishinev (1985)]. The author uses facts from his paper with \textit{G. A. Margulis} [J. Algebra 69, No.1, 1-23 (1981; Zbl 0457.20046)].
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connected locally compact group
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maximal closed subgroups
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