On the classification of finite groups acting on homology 3-spheres
نویسندگان
چکیده
منابع مشابه
On the Classification of Finite Groups Acting on Homology 3-spheres
In previous work we showed that the only finite nonabelian simple group acting by diffeomorphisms on a homology 3sphere 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 ...
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The only finite nonabelian simple group acting on a homology 3-sphere necessarily non-freely is the dodecahedral group A5 ∼= PSL(2, 5) (in analogy, the only finite perfect group acting freely on a homology 3-sphere is the binary dodecahedral group A∗5 ∼= SL(2, 5)). In the present paper we show that the only finite simple groups acting on a homology 4-sphere, and in particular on the 4-sphere, a...
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The purpose of this note is to prove the following: Theorem 1.1 Let G be a nite group. Then there is a rational homology S 3 on which G acts freely. That any nite group acts freely on some closed 3-manifold is easy to arrange: There are many examples of closed 3-manifolds whose fundamental groups surject a free group of rank two (for example, by taking a connected sum of S 1 S 2 's) and by pass...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 2004
ISSN: 0030-8730
DOI: 10.2140/pjm.2004.217.387