Abstract
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.
Citation
Brita E. A. Nucinkis. "On dimensions in Bredon homology." Homology Homotopy Appl. 6 (1) 33 - 47, 2004.
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