Coherence for elementary amenable groups
Group Theory
2025-01-15 v2 Rings and Algebras
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.
Keywords
Cite
@article{arxiv.2302.03346,
title = {Coherence for elementary amenable groups},
author = {Sam Hughes and Dawid Kielak and Peter H. Kropholler and Ian J. Leary},
journal= {arXiv preprint arXiv:2302.03346},
year = {2025}
}
Comments
v2. updated with referee's comments, to appear in Proceedings of the American Mathematical Society; v1. 10 pages, comments welcome!