Non-Abelian homology of group diagrams is isomorphic to shifted homotopy groups of homotopy colimits of classifying spaces, generalizing the Bousfield-Kan theorem to non-Abelian simplicial groups.
Homotopy theory of Γ-spaces, spectra, and bisimplicial sets , (Lecture Notes in Mathematics, V.658), Berlin- Heidelberg-New York: Springer-Verlag, 1978, P.80-150
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Non-Abelian homology and homotopy colimit of classifying spaces for a diagram of groups
Non-Abelian homology of group diagrams is isomorphic to shifted homotopy groups of homotopy colimits of classifying spaces, generalizing the Bousfield-Kan theorem to non-Abelian simplicial groups.