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arXiv · 2308.12541

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

Wajid Mannan
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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.

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Wajid Mannan. 2023-08-24. Quillen's Plus Construction and the D(2) problem. https://doi.org/10.2140/agt.2009.9.1399

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