The D(2) property for $D_8$

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 $2^n$, and offer a complete solution for the case where it is $D_8$ the dihedral group of order 8.

Paper published in peer reviewed journal in 2007

Cited by in corpus (3)

• Quillen's Plus Construction and the D(2) problem
• Minimal algebraic complexes over $D_{4n}$
• Stably free modules over virtually free groups