论文信息 - COMPUTING CROSSED MODULES INDUCED BY AN INCLUSION OF A NORMAL SUBGROUP, WITH APPLICATIONS TO HOMOTOPY 2-TYPES

COMPUTING CROSSED MODULES INDUCED BY AN INCLUSION OF A NORMAL SUBGROUP, WITH APPLICATIONS TO HOMOTOPY 2-TYPES

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.

Ronald Brown | C. Wensley | L. Breen

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