In previous work we showed that the only finite nonabelian simple group acting by diffeomorphisms on a homology 3- sphere is the alternating or dodecahedral group A_5. In the present paper, we characterize the finite nonsolvable groups that act on a homology 3-sphere preserving orientation. We find exactly the finite nonsolvable groups that act orthogonally on the 3-sphere, plus two extra families of groups for which we do not know at present if they really can act on a homology 3-sphere.
On the classification on finite groups acting on homology 3-spheres
ZIMMERMANN, BRUNO
2004-01-01
Abstract
In previous work we showed that the only finite nonabelian simple group acting by diffeomorphisms on a homology 3- sphere is the alternating or dodecahedral group A_5. In the present paper, we characterize the finite nonsolvable groups that act on a homology 3-sphere preserving orientation. We find exactly the finite nonsolvable groups that act orthogonally on the 3-sphere, plus two extra families of groups for which we do not know at present if they really can act on a homology 3-sphere.File in questo prodotto:
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