### Cohomological dimension of Mackey functors for infinite groups

### Conchita Martinez-Perez and Brita E. A. Nucinkis

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.

Preprint (2004)