Coherence for elementary amenable groups
Coherence for elementary amenable groups
We prove that for an elementary amenable group, coherence of the group, homological coherence of the group, and coherence of the group ring are all equivalent. This generalizes a result of Bieri and Strebel for finitely generated soluble groups.
Leary, Ian
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Kropholler, Peter
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Hughes, Sam
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Kielak, Dawid
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Leary, Ian
57bd5c53-cd99-41f9-b02a-4a512d45150e
Kropholler, Peter
0a2b4a66-9f0d-4c52-8541-3e4b2214b9f4
Hughes, Sam
dd73f4ab-388b-4151-8cb3-2ab484590d82
Kielak, Dawid
349c0efc-9537-400e-b17a-8feb7047c419
Leary, Ian, Kropholler, Peter, Hughes, Sam and Kielak, Dawid
(2023)
Coherence for elementary amenable groups.
Proceedings of the American Mathematical Society.
(In Press)
Abstract
We prove that for an elementary amenable group, coherence of the group, homological coherence of the group, and coherence of the group ring are all equivalent. This generalizes a result of Bieri and Strebel for finitely generated soluble groups.
Text
ElementaryAmenable
- Accepted Manuscript
More information
Accepted/In Press date: 24 August 2023
Identifiers
Local EPrints ID: 481811
URI: http://eprints.soton.ac.uk/id/eprint/481811
ISSN: 0002-9939
PURE UUID: fa1b32d8-faa4-4d35-98e3-76637366a8b2
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Date deposited: 08 Sep 2023 16:44
Last modified: 18 Mar 2024 03:24
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Contributors
Author:
Sam Hughes
Author:
Dawid Kielak
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