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arXiv:2302.03346 [math.GR]AbstractReferencesReviewsResources

Coherence for elementary amenable groups

Sam Hughes, Dawid Kielak, Peter H. Kropholler, Ian J. Leary

Published 2023-02-07Version 1

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

Comments: 10 pages, comments welcome!
Categories: math.GR, math.RA
Subjects: 20F19, 16P70, 20J05, 20J06, 43A07
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