© The London Mathematical Society 2006
COHOMOLOGICAL DIMENSION OF MACKEY FUNCTORS FOR INFINITE GROUPS
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 cd
G of a group G. We will relate this dimension to other cohomological dimensions such as the Bredon-cohomological dimension cd
G and the relative cohomological dimension
-cdG. In particular, we show that for virtually torsion free groups the Mackey-cohomological dimension is equal to both
-cdG and the virtual cohomological dimension.