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Coherence for elementary amenable groups

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.
0002-9939
977-986
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
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, 152 (3), 977-986. (doi:10.1090/proc/16656). (In Press)

Record type: Article

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.

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ElementaryAmenable - Accepted Manuscript
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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
ORCID for Ian Leary: ORCID iD orcid.org/0000-0001-8300-4979
ORCID for Peter Kropholler: ORCID iD orcid.org/0000-0001-5460-1512

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Date deposited: 08 Sep 2023 16:44
Last modified: 19 Dec 2024 02:45

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Contributors

Author: Ian Leary ORCID iD
Author: Sam Hughes
Author: Dawid Kielak

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