Algebraic and Geometric Topology 4 (2004), paper no. 47, pages 1103-1109.

An indecomposable PD_3-complex : II

Jonathan A. Hillman

Abstract. We show that there are two homotopy types of PD_3-complexes with fundamental group S_3*_{Z/2Z}S_3, and give explicit constructions for each, which differ only in the attachment of the top cell.

Keywords. Indecomposable, Poincare duality, PD_3-complex

AMS subject classification. Primary: 57P10. Secondary: 55M05.

DOI: 10.2140/agt.2004.4.1103

E-print: arXiv:math.AT/0412248

Submitted: 4 August 2004. Accepted: 16 November 2004. Published: 25 November 2004.

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Jonathan A. Hillman
School of Mathematics and Statistics F07
University of Sydney, NSW 2006, Australia

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