Free crossed resolutions for graph products of groups
Abstract
The category of crossed complexes gives an algebraic model of the category of $CW$complexes and cellular maps. We explain basic results on crossed complexes which allow the computation of free crossed resolutions of graph products of groups, given free crossed resolutions of the individual groups.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 January 2001
 arXiv:
 arXiv:math/0101220
 Bibcode:
 2001math......1220B
 Keywords:

 Mathematics  Algebraic Topology;
 Mathematics  Group Theory;
 57M15;
 20E99;
 55U99;
 20J99;
 18G55
 EPrint:
 18 pages, xypic version 2: 20/08/01 Main change is the use of work of H.J. Baues on realisation of morphisms of free crossed resolutions. There are other minor changes 05/07/02 This version includes the work on graph prodducts of groups. For free crossed resolutionds of amalgamated sums and HNNextensions, see math.AT/0101220. To appear in Proceedings Workshop Korea 2000, Heldermann Verlag