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Computing crossed modules induced by an inclusion of a normal subgroup, with applications to homotopy 2-types
Theory and applications of categories, Tome 2 (1996), pp. 3-16 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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We obtain some explicit calculations of crossed Q-modules induced from a crossed module over a normal subgroup P of Q. By virtue of theorems of Brown and Higgins, this enables the computation of the homotopy 2-types and second homotopy modules of certain homotopy pushouts of maps of classifying spaces of discrete groups.

Classification : 18G10, 20F38, 55P15, 55Q20.
Keywords: crossed modules, homotopy 2�types, generalized Van Kampen theorem, crossed resolution, Postnikov invariant, classifying spaces of discrete groups. 
@article{TAC_1996_2_a0,
     author = {Ronald Brown and Christopher D. Wensley},
     title = {Computing crossed modules induced by an inclusion of a normal subgroup, 
with applications to homotopy 2-types},
     journal = {Theory and applications of categories},
     pages = {3--16},
     year = {1996},
     volume = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_1996_2_a0/}
}
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%A Christopher D. Wensley
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Ronald Brown; Christopher D. Wensley. Computing crossed modules induced by an inclusion of a normal subgroup, 
with applications to homotopy 2-types. Theory and applications of categories, Tome 2 (1996), pp. 3-16. http://geodesic.mathdoc.fr/item/TAC_1996_2_a0/