Periodic cohomology and subgroups with bounded Bredon cohomological dimension
Periodic cohomology and subgroups with bounded Bredon cohomological dimension
Mislin and Talelli showed that a torsion-free group in Kropholler's class <b>H</b>F with periodic cohomology after some steps has finite cohomological dimension. In this note we look at similar questions for groups with torsion by considering Bredon cohomology. In particular we show that every elementary amenable group acting freely and properly on some <b>R</b>^n x S^m admits a finite dimensional classifying space for proper actions.
329-336
Jo, Jang Hyun
9114466c-779d-4f09-bff8-7ae1d33a049c
Nucinkis, Brita E.A.
0b1c337c-36ae-4ef3-add4-b49a7c23810c
2008
Jo, Jang Hyun
9114466c-779d-4f09-bff8-7ae1d33a049c
Nucinkis, Brita E.A.
0b1c337c-36ae-4ef3-add4-b49a7c23810c
Jo, Jang Hyun and Nucinkis, Brita E.A.
(2008)
Periodic cohomology and subgroups with bounded Bredon cohomological dimension.
Mathematical Proceedings of the Cambridge Philosophical Society, 144 (No. 2), .
(doi:10.1017/S0305004107000837).
Abstract
Mislin and Talelli showed that a torsion-free group in Kropholler's class <b>H</b>F with periodic cohomology after some steps has finite cohomological dimension. In this note we look at similar questions for groups with torsion by considering Bredon cohomology. In particular we show that every elementary amenable group acting freely and properly on some <b>R</b>^n x S^m admits a finite dimensional classifying space for proper actions.
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Published date: 2008
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Local EPrints ID: 43354
URI: http://eprints.soton.ac.uk/id/eprint/43354
PURE UUID: e74f9b5a-5a8e-421d-aad1-3a3378aba510
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Date deposited: 23 Jan 2007
Last modified: 15 Mar 2024 08:54
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Author:
Jang Hyun Jo
Author:
Brita E.A. Nucinkis
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