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On finite induced crossed modules and the homotopy 2-type of mapping cones,
Theory and applications of categories, Tome 1 (1995), pp. 54-71
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Results on the finiteness of induced crossed modules are proved both algebraically and topologically. Using the Van Kampen type theorem for the fundamental crossed module, applications are given to the 2-types of mapping cones of classifying spaces of groups. Calculations of the cohomology classes of some finite crossed modules are given, using crossed complex methods.

Classification : 18G10, 20F38, 55P15, 55Q20.
Keywords: crossed modules, homotopy 2�types, generalised van Kampen Theo� rem, crossed resolution, Postnikov invariant. 
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     author = {Ronald Brown and Christopher D. Wensley},
     title = {On finite induced crossed modules and the homotopy 2-type of mapping cones,},
     journal = {Theory and applications of categories},
     pages = {54--71},
     year = {1995},
     volume = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_1995_1_a2/}
}
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Ronald Brown; Christopher D. Wensley. On finite induced crossed modules and the homotopy 2-type of mapping cones,. Theory and applications of categories, Tome 1 (1995), pp. 54-71. http://geodesic.mathdoc.fr/item/TAC_1995_1_a2/