TheD(2) property forD8

W H Mannan
2007 Algebraic and Geometric Topology  
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.
doi:10.2140/agt.2007.7.517 fatcat:5hjwdbkkxnbrjltdpmmbtox2zy