Geodesic
On dimensions in Bredon homology
Homology, homotopy, and applications, Tome 6 (2004) no. 1, pp. 33-47.

Voir la notice de l'article provenant de la source International Press of Boston

We define a homological and cohomological dimension of groups in the context of Bredon homology and compare the two quantities. We apply this to describe the Bredon-homological dimension of nilpotent groups in terms of the Hirsch-rank. In particular this implies that for virtually torsion-free nilpotent groups the Bredon cohomological dimension is equal to the virtual cohomological dimension.
DOI : 10.4310/HHA.2004.v6.n1.a4
Classification : 18Gxx, 20F18, 20J05, 55N25
Keywords: Bredon homology, (co)homological dimension, Hirsch length 
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Brita E. A. Nucinkis. On dimensions in Bredon homology. Homology, homotopy, and applications, Tome 6 (2004) no. 1, pp. 33-47. doi : 10.4310/HHA.2004.v6.n1.a4. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2004.v6.n1.a4/

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