Generalised Swan modules and the D(2) problem

Edwards, Tim

doi:10.2140/agt.2006.6.71

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Generalised Swan modules and the D(2) problem

Tim Edwards

Algebraic & Geometric Topology 6 (2006) 71–89

DOI: 10.2140/agt.2006.6.71

arXiv: math.AT/0601376

Abstract

We give a detailed proof that, for any natural number $n$ , each algebraic two complex over $C_{n} \times C_{\infty}$ is realised up to congruence by a geometric complex arising from a presentation for the group.

Keywords

Algebraic 2 complex, Wall's D(2) problem, geometric realization of algebraic 2 complexes, homotopy classification of 2 complexes, abelian groups

Mathematical Subject Classification 2000

Primary: 57M20, 16D70, 55P15

Secondary: 55Q05

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Publication

Received: 16 September 2005

Revised: 13 December 2005

Accepted: 9 January 2006

Published: 24 February 2006

Authors

Tim Edwards
Department of Mathematics University College London Gower St London WC1E 6BT UK

Volume 6, issue 1 (2006)