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http://hdl.handle.net/2445/96596
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DC Field | Value | Language |
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dc.contributor.author | Mundet i Riera, Ignasi | - |
dc.date.accessioned | 2016-03-17T16:51:45Z | - |
dc.date.available | 2016-03-17T16:51:45Z | - |
dc.date.issued | 2010 | - |
dc.identifier.issn | 0002-9939 | - |
dc.identifier.uri | http://hdl.handle.net/2445/96596 | - |
dc.description.abstract | Let $ M$ be a compact connected $ n$-dimensional smooth manifold admitting an unramified covering $ \widetilde{M}\to M$ with cohomology classes $ \alpha_1,\dots,\alpha_n \in H^1(\widetilde{M};\mathbb{Z})$ satisfying $ \alpha_1\cup\dots\cup\alpha_n\neq 0$. We prove that there exists some number $ c$ such that: (1) any finite group of diffeomorphisms of $ M$ contains an abelian subgroup of index at most $ c$; (2) if $ \chi(M)\neq 0$, then any finite group of diffeomorphisms of $ M$ has at most $ c$ elements. We also give a new and short proof of Jordan's classical theorem for finite subgroups of $ \mathrm{GL}(n,\mathbb{C})$, of which our result is an analogue for $ \mathrm{Diff}(M)$. | - |
dc.format.extent | 10 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | American Mathematical Society (AMS) | - |
dc.relation.isformatof | Reproducció del document publicat a: http://dx.doi.org/10.1090/S0002-9939-10-10221-4 | - |
dc.relation.ispartof | Proceedings of the American Mathematical Society, 2010, vol. 138, p. 2253-2262 | - |
dc.relation.uri | http://dx.doi.org/10.1090/S0002-9939-10-10221-4 | - |
dc.rights | (c) American Mathematical Society (AMS), 2010 | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Física matemàtica | - |
dc.subject.other | Mathematical physics | - |
dc.title | A Jordan theorem for the diffeomorphism group of some manifolds | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/publishedVersion | - |
dc.identifier.idgrec | 609884 | - |
dc.date.updated | 2016-03-17T16:51:50Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
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609884.pdf | 219.51 kB | Adobe PDF | View/Open |
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