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.

Détails bibliographiques
Auteurs principaux: Hughes, S, Kielak, D, Kropholler, PH, Leary, IJ
Format: Journal article
Langue:English
Publié: American Mathematical Society 2024