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arXiv · 2308.12897

The D(2) property for $D_8$

Wajid Mannan
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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.

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Wajid Mannan. 2023-08-24. The D(2) property for $D_8$. https://doi.org/10.2140/agt.2007.7.517

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