Volume 6, issue 1 (2006)

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Generalised Swan modules and the D(2) problem

Tim Edwards

Algebraic & Geometric Topology 6 (2006) 71–89

arXiv: math.AT/0601376

Abstract

We give a detailed proof that, for any natural number n, each algebraic two complex over Cn×C 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