Coherence for elementary amenable groups
arXiv:2302.03346 · doi:10.1090/proc/16656
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.
v2. updated with referee's comments, to appear in Proceedings of the American Mathematical Society; v1. 10 pages, comments welcome!