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On Bredon homology of elementary amenable groups
Authors:Ramó  n J Flores  Brita E A Nucinkis
Institution: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 $ \underline{E}G$ of dimension less than or equal to the Hirsch length plus one. Some remarks on groups of type $ {\operatorname{FP}}_{\infty}$ are also made.

Keywords:Elementary amenable group  Bredon homology
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