Departamento de Matemáticas, Universidad Autónoma de Barcelona, E 08193 Bellaterra, Spain ; School of Mathematics, University of Southampton, Southampton, SO 17 1BJ, United Kingdom
Abstract:
We show that for elementary amenable groups the Hirsch length is equal to the Bredon homological dimension. This also implies that countable elementary amenable groups admit a finite-dimensional model for of dimension less than or equal to the Hirsch length plus one. Some remarks on groups of type are also made.