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Cohomological dimension of Mackey functors for infinite groups

Cohomological dimension of Mackey functors for infinite groups
Cohomological dimension of Mackey functors for infinite groups
We consider the cohomology of Mackey functors for infinite groups and define the Mackey-cohomological dimension of a group G. We relate this dimension to other cohomological dimensions such as the Bredon cohomological dimension and the relative cohomological dimension. In particular we show that for virtually torsion free groups the Mackey cohomological dimension is equal to both the relative cohomological dimension and the virtual cohomological dimension.
0024-6107
379-396
Martinez-Perez, Conchita
32bbe45a-bcda-4610-a52a-3ba2312a1691
Nucinkis, Brita E.A.
0b1c337c-36ae-4ef3-add4-b49a7c23810c
Martinez-Perez, Conchita
32bbe45a-bcda-4610-a52a-3ba2312a1691
Nucinkis, Brita E.A.
0b1c337c-36ae-4ef3-add4-b49a7c23810c

Martinez-Perez, Conchita and Nucinkis, Brita E.A. (2006) Cohomological dimension of Mackey functors for infinite groups. Journal of the London Mathematical Society, 74 (2), 379-396. (doi:10.1112/S0024610706023143).

Record type: Article

Abstract

We consider the cohomology of Mackey functors for infinite groups and define the Mackey-cohomological dimension of a group G. We relate this dimension to other cohomological dimensions such as the Bredon cohomological dimension and the relative cohomological dimension. In particular we show that for virtually torsion free groups the Mackey cohomological dimension is equal to both the relative cohomological dimension and the virtual cohomological dimension.

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Published date: October 2006
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Local EPrints ID: 175079
URI: http://eprints.soton.ac.uk/id/eprint/175079
DOI: doi:10.1112/S0024610706023143
ISSN: 0024-6107
PURE UUID: f9e3db2a-f991-429b-877e-f33d281165a9

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Date deposited: 21 Feb 2011 14:01
Last modified: 14 Mar 2024 02:36

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Author: Conchita Martinez-Perez
Author: Brita E.A. Nucinkis

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