Geodesic
Quillen’s plus construction and the D(2) problem
Mannan, W H1
1Building 54, School of Mathematics, University of Southampton, University Road, Southampton SO17 1BJ, United Kingdom
Algebraic and Geometric Topology, Tome 9 (2009) no. 3, pp. 1399-1411
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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.

DOI : 10.2140/agt.2009.9.1399
Keywords: D2 problem, Quillen plus construction

Mannan, W H  1

1 Building 54, School of Mathematics, University of Southampton, University Road, Southampton SO17 1BJ, United Kingdom 
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Mannan, W H. Quillen’s plus construction and the D(2) problem. Algebraic and Geometric Topology, Tome 9 (2009) no. 3, pp. 1399-1411. doi: 10.2140/agt.2009.9.1399

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