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On the classification
of finite groups acting on homology 3-spheres
Bruno Zimmermann |
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Vol. 217 (2004), No. 2, 387–395
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Abstract |
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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 𝔸5. Here we characterize 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 families of groups for which we do not know at present if they really can act on a homology 3-sphere. |
Milestones
Received: 7 January 2002
Revised: 14 February 2003
Published: 1 December 2004
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Authors |
| Bruno Zimmermann | |
| Università degli Studi di
Trieste Dipartimento di Matematica e Informatica 34100 Trieste Italy |
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