Proceedings of the American Mathematical Society

Author(s): Ramón J. Flores; Brita E. A. Nucinkis
Journal: Proc. Amer. Math. Soc. 135 (2007), 5-11.
MSC (2000): Primary 20J05, 18G20
Posted: August 16, 2006
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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.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 20J05, 18G20

Ramón J. Flores
Affiliation: Departamento de Matemáticas, Universidad Autónoma de Barcelona, E 08193 Bellaterra, Spain
Address at time of publication: Departamento de Estadística, Universidad Carlos III, Campus de Colmen- arejo, 22 28270 Colmenarejo (Madrid), Spain
Email: ramonj@mat.uab.es, rflores@est-econ.uc3m.es

Brita E. A. Nucinkis
Affiliation: School of Mathematics, University of Southampton, Southampton, SO 17 1BJ, United Kingdom
Email: B.E.A.Nucinkis@soton.ac.uk

DOI: 10.1090/S0002-9939-06-08565-0
PII: S 0002-9939(06)08565-0
Keywords: Elementary amenable group, Bredon homology
Received by editor(s): July 20, 2005
Posted: August 16, 2006
Additional Notes: This work was partially supported by MCYT grant BFM2001-2035
Communicated by: Jonathan I. Hall
Copyright of article: Copyright 2006, American Mathematical Society

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