Cohomological finiteness conditions for elementary amenable groups

P. H. Kropholler; C. Martínez-Pérez; B. E. A. Nucinkis

doi:10.1515/CRELLE.2009.090

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Cohomological finiteness conditions for elementary amenable groups

P. H. Kropholler , C. Martínez-Pérez and B. E. A. Nucinkis

Published/Copyright: November 23, 2009

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Journal für die reine und angewandte Mathematik

From the journal Volume 2009 Issue 637

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Kropholler, P. H., Martínez-Pérez, C. and Nucinkis, B. E. A.. "Cohomological finiteness conditions for elementary amenable groups" Journal für die reine und angewandte Mathematik, vol. 2009, no. 637, 2009, pp. 49-62. https://doi.org/10.1515/CRELLE.2009.090

Kropholler, P., Martínez-Pérez, C. & Nucinkis, B. (2009). Cohomological finiteness conditions for elementary amenable groups. Journal für die reine und angewandte Mathematik, 2009(637), 49-62. https://doi.org/10.1515/CRELLE.2009.090

Kropholler, P., Martínez-Pérez, C. and Nucinkis, B. (2009) Cohomological finiteness conditions for elementary amenable groups. Journal für die reine und angewandte Mathematik, Vol. 2009 (Issue 637), pp. 49-62. https://doi.org/10.1515/CRELLE.2009.090

Kropholler, P. H., Martínez-Pérez, C. and Nucinkis, B. E. A.. "Cohomological finiteness conditions for elementary amenable groups" Journal für die reine und angewandte Mathematik 2009, no. 637 (2009): 49-62. https://doi.org/10.1515/CRELLE.2009.090

Kropholler P, Martínez-Pérez C, Nucinkis B. Cohomological finiteness conditions for elementary amenable groups. Journal für die reine und angewandte Mathematik. 2009;2009(637): 49-62. https://doi.org/10.1515/CRELLE.2009.090

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Abstract

It is proved that every elementary amenable group of type FP_∞ admits a cocompact classifying space for proper actions.

Received: 2008-01-10

Published Online: 2009-11-23

Published in Print: 2009-December

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The Hartogs extension theorem on (n – 1)-complete complex spaces
On Hartogs' extension theorem on (n – 1)-complete complex spaces
Cohomological finiteness conditions for elementary amenable groups
The behaviour of the differential Galois group on the generic and special fibres: A Tannakian approach
Discrete holomorphic geometry I. Darboux transformations and spectral curves
Multilinear morphisms between 1-motives
A short proof of the λ_g-conjecture without Gromov-Witten theory: Hurwitz theory and the moduli of curves
Unobstructedness of deformations of holomorphic maps onto Fano manifolds of Picard number 1
Cayley decompositions of lattice polytopes and upper bounds for h*-polynomials
Siegel's trace problem and character values of finite groups

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https://doi.org/10.1515/CRELLE.2009.090

Articles in the same Issue

Trees and mapping class groups
The Hartogs extension theorem on (n – 1)-complete complex spaces
On Hartogs' extension theorem on (n – 1)-complete complex spaces
Cohomological finiteness conditions for elementary amenable groups
The behaviour of the differential Galois group on the generic and special fibres: A Tannakian approach
Discrete holomorphic geometry I. Darboux transformations and spectral curves
Multilinear morphisms between 1-motives
A short proof of the λ_g-conjecture without Gromov-Witten theory: Hurwitz theory and the moduli of curves
Unobstructedness of deformations of holomorphic maps onto Fano manifolds of Picard number 1
Cayley decompositions of lattice polytopes and upper bounds for h*-polynomials
Siegel's trace problem and character values of finite groups