Algebraic & Geometric Topology 6 (2006) 2163–2173

DOI: 10.2140/agt.2006.6.2163

arXiv: 0906.5491

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, y⁴} for the Baumslag--Solitar group < x, y | xy²x^-1=y³ > is stably free non-free of rank one.

Keywords

2-dimensional complex, homotopy-type, stably free modules

Mathematical Subject Classification

Primary: 57M20

Secondary: 57M05

References

Publication

Received: 18 May 2006
Accepted: 25 September 2006
Published: 19 November 2006

Authors