DIHEDRAL GROUP-ACTIONS ON HOMOTOPY COMPLEX PROJECTIVE 3 SPACES

Let D2m be the dihedral group of order 2m. Given an odd prime m such that the projective class group of D2m has 2-rank = 0, we construct smooth D2m-actions on an infinite number of pairwise non-diffeomorphic (distinguished by Pontryagin class) manifolds each of which is homotopy equivalent to CP3. This is accomplished by applying equivariant surgery theory to normal maps created by an equivariant transversality argument.