Computing crossed modules induced by an inclusion of a normal subgroup, with application to homotopy 2-types
Research output: Contribution to journal › Article › peer-review
Electronic versions
Links
- http://www.tac.mta.ca/tac/volumes/1996/n1/n1.pdf
Other version
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.
Keywords
- crossed modules, homotopy 2-types, generalized Van Kampen theorem, crossed resolution, Postnikov invariant, classifying spaces of discrete groups
| Original language | English |
|---|---|
| Pages (from-to) | 3-16 |
| Journal | Theory and application of categories |
| Volume | 2 |
| Publication status | Published - 1996 |