Elementary amenable groups of cohomological dimension \(3\) (Q6187035)
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scientific article; zbMATH DE number 7786264
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Elementary amenable groups of cohomological dimension \(3\) |
scientific article; zbMATH DE number 7786264 |
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Elementary amenable groups of cohomological dimension \(3\) (English)
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10 January 2024
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Interest arising out of the recent work on aspherical \(4\)-manifolds, it is shown that torsion-free elementary amenable groups of Hirsch length at most \(3\) are solvable of derived length at most \(3\).
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elementary amenable groups
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Hirsch length
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Baumslag-Solitar groups
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cohomological dimension
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Hirsch-Plotkin radical
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