Quillen’s Plus Construction and the D(2) problem
Quillen’s Plus Construction and the D(2) problem
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
Quillen's plus construction, D2 problem
1399-1411
Mannan, W.H.
226de07d-b065-4816-958f-23c1bde53069
5 July 2009
Mannan, W.H.
226de07d-b065-4816-958f-23c1bde53069
Mannan, W.H.
(2009)
Quillen’s Plus Construction and the D(2) problem.
Algebraic & Geometric Topology, 9 (3), .
(doi:10.2140/agt.2009.9.1399).
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
This record has no associated files available for download.
More information
Published date: 5 July 2009
Keywords:
Quillen's plus construction, D2 problem
Identifiers
Local EPrints ID: 69191
URI: http://eprints.soton.ac.uk/id/eprint/69191
ISSN: 1472-2747
PURE UUID: c5ac6a99-61ab-4bf4-9817-58a043df4efb
Catalogue record
Date deposited: 23 Oct 2009
Last modified: 13 Mar 2024 19:28
Export record
Altmetrics
Contributors
Author:
W.H. Mannan
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics