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arXiv · 2302.03346

Coherence for elementary amenable groups

Sam Hughes·Dawid Kielak·Peter H. Kropholler·Ian J. Leary
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Abstract

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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Sam Hughes, Dawid Kielak, Peter H. Kropholler, Ian J. Leary. 2023-02-07. Coherence for elementary amenable groups. https://doi.org/10.1090/proc/16656

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