Cat^n-groups in homological and homotopical algebra: Part III

Simona Paoli – 20 August 2003

The main goal of this talk is to explain how catn-groups and their cohomology theory can be used to reach an interpretation of the cohomology of crossed modules with coefficients in a pi1-module, in dimensions n>2. The results giving rise to this application rely on an explicit form of the cotriple on catn-groups, which will also be explained.