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

Simona Paoli – 13 August 2003

The cotriple cohomology in many algebraic categories vanishes in positive dimensions on injective coefficients modules. A category of interest with this vanishing property on cohomology is called, in this context, a balanced category. In this talk we aim at answering the question whether the category of crossed modules in groups is balanced. In describing the tools to tackle this problem, we will cover in greater detail some of the topics mentioned in the previous talk.