On finite induced crossed modules and the homotopy 2-type of mapping cones

Details On finite induced crossed modules and the homotopy 2-type of mapping cones On finite induced crossed modules and the homotopy 2-type of mapping cones

1995-03-09

arxiv.org/abs/math/9503202v1

Mathematics

Group Theory

LaTex, 20 pages, no figures

Scientific paper

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.

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