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Quillen’s Plus Construction and the D(2) problem

Mannan, W.H. (2009) Quillen’s Plus Construction and the D(2) problem. Algebraic and Geometric Topology, 9, (3), 1399-1411. (doi:10.2140/agt.2009.9.1399)

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Official URL: http://dx.doi.org/10.2140/agt.2009.9.1399

Description/Abstract

Given a finite connected 3–complex with cohomological dimension 2, we show it may be constructed up to homotopy by applying the Quillen plus construction to the Cayley complex of a finite group presentation. This reduces the D(2) problem to a question about perfect normal subgroups

Item Type:Article
ISSN:1472-2747 (print)
Uncontrolled Keywords:Quillen's plus construction, D2 problem
Related URLs:http://dx.doi.org/10.2140/agt....009.9.1399
Subjects:Q Science > QA Mathematics
Divisions:University Structure - Pre August 2011 > School of Mathematics > Pure Mathematics
ePrint ID:69191
Deposited On:23 Oct 2009
Last Modified:01 Jun 2011 08:33

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