Free crossed resolutions for graph products of groups
Algebraic Topology
2007-05-23 v3 Group Theory
Abstract
The category of crossed complexes gives an algebraic model of the category of -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.
Cite
@article{arxiv.math/0101220,
title = {Free crossed resolutions for graph products of groups},
author = {Ronald Brown and Manuel Bullejos and Timothy Porter},
journal= {arXiv preprint arXiv:math/0101220},
year = {2007}
}
Comments
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 HNN-extensions, see math.AT/0101220. To appear in Proceedings Workshop Korea 2000, Heldermann Verlag