On dimensions in Bredon homology
On dimensions in Bredon homology
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.
Bredon homology, (co)homological dimension, Hirsch length
33-47
Nucinkis, Brita E.A.
0b1c337c-36ae-4ef3-add4-b49a7c23810c
2004
Nucinkis, Brita E.A.
0b1c337c-36ae-4ef3-add4-b49a7c23810c
Nucinkis, Brita E.A.
(2004)
On dimensions in Bredon homology.
Homology, Homotopy and Applications, 6 (1), .
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.
Text
v6n1a4.pdf
- Version of Record
Restricted to Repository staff only
More information
Published date: 2004
Keywords:
Bredon homology, (co)homological dimension, Hirsch length
Identifiers
Local EPrints ID: 29758
URI: http://eprints.soton.ac.uk/id/eprint/29758
PURE UUID: 7688d4af-89af-448c-a29a-30411e4372b1
Catalogue record
Date deposited: 11 May 2006
Last modified: 15 Mar 2024 07:34
Export record
Contributors
Author:
Brita E.A. Nucinkis
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics