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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11368/1703119
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