Quillen's Plus Construction and the D(2) problem
Algebraic Topology
2023-08-25 v1
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.
Cite
@article{arxiv.2308.12541,
title = {Quillen's Plus Construction and the D(2) problem},
author = {Wajid Mannan},
journal= {arXiv preprint arXiv:2308.12541},
year = {2023}
}
Comments
Paper published in peer reviewed journal in 2009