Quillen's plus construction and the D(2) problem

W H Mannan

doi:10.2140/agt.2009.9.1399

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Home > Journals > Algebr. Geom. Topol. > Volume 9 > Issue 3 > Article

2009 Quillen's plus construction and the D(2) problem

W H Mannan

Algebr. Geom. Topol. 9(3): 1399-1411 (2009). DOI: 10.2140/agt.2009.9.1399

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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.