English

The D(2) property for $D_8$

Algebraic Topology 2023-08-25 v1

Abstract

Wall's D(2) problem asks if a cohomologically 2-dimensional geometric 3-complex is necessarily homotopy equivalent to a geometric 2-complex. We solve part of the problem when the fundamental group is dihedral of order 2n2^n, and offer a complete solution for the case where it is D8D_8 the dihedral group of order 8.

Keywords

Cite

@article{arxiv.2308.12897,
  title  = {The D(2) property for $D_8$},
  author = {Wajid Mannan},
  journal= {arXiv preprint arXiv:2308.12897},
  year   = {2023}
}

Comments

Paper published in peer reviewed journal in 2007

R2 v1 2026-06-28T12:03:37.684Z