#### 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 ${C}_{n}×{C}_{\infty }$ 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