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 integral group ring are all equivalent. This generalises a result of Bieri and Strebel for finitely generated soluble groups.

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Veröffentlicht in:arXiv.org 2023-11
Hauptverfasser: Hughes, Sam, Kielak, Dawid, Kropholler, Peter H, Leary, Ian J
Format: Artikel
Sprache:eng
Schlagworte:
Coherence
Mathematics - Group Theory
Mathematics - Rings and Algebras
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Zusammenfassung:We prove that for an elementary amenable group, coherence of the group, homological coherence of the group, and coherence of the integral group ring are all equivalent. This generalises a result of Bieri and Strebel for finitely generated soluble groups.
ISSN:2331-8422
DOI:10.48550/arxiv.2302.03346