群图积的自由交叉分解
代数拓扑
2007-05-23 v3 群论
摘要
交叉复形范畴给出了 -复形与胞腔映射范畴的代数模型。我们解释交叉复形的基本结果，这些结果允许在给定各个群的自由交叉分解时，计算群图积的自由交叉分解。
引用
@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}
}
备注
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