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# The decomposition of 3-dimensional Poincaré complexes

Crisp, J. (2000) The decomposition of 3-dimensional Poincaré complexes. Commentarii Mathematici Helvetici, 75 (2), 232-246.

Record type: Article

## Abstract

We show that if the fundamental group of an orientable PD3-complex has infinitely many ends then it is either a proper free product or virtually free of finite rank. It follows that every PD3-complex is finitely covered by one which is homotopy equivalent to a connected sum of aspherical PD3-complexes and copies of S^1 \times S^2. Furthermore, it is shown that any torsion element of the fundamental group of an orientable PD3-complex has finite centraliser.

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Published date: 2000
Keywords: poincaré complex, graph of groups, tree

## Identifiers

Local EPrints ID: 29863
URI: https://eprints.soton.ac.uk/id/eprint/29863
PURE UUID: 10fba9b8-93a7-407f-a197-6ef6b5c528e0

## Catalogue record

Date deposited: 19 Mar 2007

Author: J. Crisp