Generalised Swan modules and the D(2) problem

Tim Edwards

doi:10.2140/agt.2006.6.71

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Home > Journals > Algebr. Geom. Topol. > Volume 6 > Issue 1 > Article

2006 Generalised Swan modules and the D(2) problem

Tim Edwards

Algebr. Geom. Topol. 6(1): 71-89 (2006). DOI: 10.2140/agt.2006.6.71

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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.

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Tim Edwards. "Generalised Swan modules and the D(2) problem." Algebr. Geom. Topol. 6 (1) 71 - 89, 2006. https://doi.org/10.2140/agt.2006.6.71

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Received: 16 September 2005; Revised: 13 December 2005; Accepted: 9 January 2006; Published: 2006

First available in Project Euclid: 20 December 2017

zbMATH: 1097.57005

MathSciNet: MR2199454

Digital Object Identifier: 10.2140/agt.2006.6.71

Subjects:

Primary: 16D70 , 55P15 , 57M20

Secondary: 55Q05

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

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