On Bredon Homology of Elementary Amenable Groups

Ramon J. Flores and Brita E. A. Nucinkis

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 a classifying space for proper action of dimension less or equal to the Hirsch length plus one.

Preprint (2005)