%0 Journal Article
%T The nonabelian bar resolution
%A Lucian M. Ionescu
%J Mathematics
%D 2001
%I arXiv
%X The theory of parity quasi-complexes (PQC) is developed, preparing a set up for defining derived functors using resolutions in the nonabelian case. A homotopy structure on the category of PQC is defined, yielding a 2-category structure. The nonabelian homology functor factors through the corresponding homotopy category. Following the relative homological algebra approach, resolutions are defined as PQC having parity contracting homotopies in a suitable category. A canonical non-abelian PQC resolution for groups is defined.
%U http://arxiv.org/abs/math/0108147v1