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Abstract
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Wall’s
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
and give a complete solution for the case where it is
the
dihedral group of order 8.
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Keywords
Wall's D(2) problem, algebraic complexes, k-invariants
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Mathematical Subject Classification 2000
Primary: 57M20
Secondary: 57M05
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Publication
Received: 4 October 2006
Revised: 10 February 2007
Accepted: 10 February 2007
Published: 25 April 2007
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