Exotic relation modules and homotopy types for certain 1-relator groups

Details Exotic relation modules and homotopy types for certain 1-relator groups Exotic relation modules and homotopy types for certain 1-relator groups

2009-06-30

arxiv.org/abs/0906.5491v1

Algebr. Geom. Topol. 6 (2006) 2163-2173

Mathematics

Group Theory

This is the version published by Algebraic & Geometric Topology on 19 November 2006

Scientific paper

10.2140/agt.2006.6.2163

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 is stably free non-free of rank one.

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