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Journal of the London Mathematical Society 2006 74(2):379-396; doi:10.1112/S0024610706023143
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© The London Mathematical Society 2006

COHOMOLOGICAL DIMENSION OF MACKEY FUNCTORS FOR INFINITE GROUPS

Conchita Martinez-Pérez and Brita E. A. Nucinkis

Departamento de Matemáticas, Universidad de Zaragoza Zaragoza 50009, Spain conmar{at}unizar.es
School of Mathematics, University of Southampton Southampton SO17 1BJ, United Kingdom b.e.a.nucinkis{at}soton.ac.uk

Received 24 November 2004. Revision received 11 May 2006.

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


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