Exotic relation modules and homotopy types for certain 1-relator groups
Group Theory
2009-07-01 v1 Algebraic Topology
Abstract
Using stably free non-free relation modules we construct an infinite collection of 2-dimensional homotopy types, each of Euler-characteristic one and with trefoil fundamental group. This provides an affirmative answer to a question asked by Berridge and Dunwoody [J. London Math. Soc. 19 (1979) 433-436]. We also give new examples of exotic relation modules. We show that the relation module associated with the generating set x, y^4 for the Baumslag-Solitar group <x, y | xy^2x^{-1}=y^3> is stably free non-free of rank one.
Keywords
Cite
@article{arxiv.0906.5491,
title = {Exotic relation modules and homotopy types for certain 1-relator groups},
author = {Jens Harlander and Jacqueline A Jensen},
journal= {arXiv preprint arXiv:0906.5491},
year = {2009}
}
Comments
This is the version published by Algebraic & Geometric Topology on 19 November 2006