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On Dimensions in Bredon Homology

On Dimensions in Bredon Homology

Brita E. A. Nucinkis

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.


Homology, Homotopy and Applications, Vol. 6(2004), No. 1, pp. 33-47

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