%0 Journal Article
%T On the non-balanced property of the category of crossed modules in groups
%A Simona Paoli
%J Mathematics
%D 2003
%I arXiv
%X An algebraic category $\mathcal{C}$ is called balanced if the cotriple cohomology of any object of $\mathcal{C}$ vanishes in positive dimensions on injective coefficient modules. Important examples of balanced and of non-balanced categories occur in the literature. In this paper we prove that the category of crossed modules in groups is non-balanced.
%U http://arxiv.org/abs/math/0309400v1