Free crossed resolutions of groups and presentations of modules of identities among relations
Group Theory
2007-05-23 v1 Algebraic Topology
Abstract
We give formulae for a module presentation of the module of identities among relations for a presentation of a group, in terms of information on 0- and 1-combings of the Cayley graph. This is seen as a special case of extending a partial free crossed resolution of a group given a partial contracting homotopy of its universal cover.
Keywords
Cite
@article{arxiv.math/9812132,
title = {Free crossed resolutions of groups and presentations of modules of identities among relations},
author = {Ronald Brown and A. Razak Salleh},
journal= {arXiv preprint arXiv:math/9812132},
year = {2007}
}
Comments
34 pages, LaTeX2E, with xypic