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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2015, Volume 289, Pages 235–241
DOI: https://doi.org/10.1134/S0371968515020144 (Mi tm3626) 		 
This article is cited in 14 scientific papers (total in 14 papers)

Finite subgroups of diffeomorphism groups

V. L. Popov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
Full-text PDF (175 kB) Citations (14)
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DOI: https://doi.org/10.1134/S0371968515020144
Abstract: We prove the following: (1) the existence, for every integer $n\geq 4$, of a noncompact smooth $n$-dimensional topological manifold whose diffeomorphism group contains an isomorphic copy of every finitely presented group; (2) a finiteness theorem for finite simple subgroups of diffeomorphism groups of compact smooth topological manifolds.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work is supported by the Russian Science Foundation under grant 14-50-00005.
Received: January 15, 2015
English version:
Proceedings of the Steklov Institute of Mathematics, 2015, Volume 289, Pages 221–226
DOI: https://doi.org/10.1134/S0081543815040148
Bibliographic databases:
Document Type: Article
UDC: 512
Language: Russian
Citation: V. L. Popov, “Finite subgroups of diffeomorphism groups”, Selected issues of mathematics and mechanics, Collected papers. In commemoration of the 150th anniversary of Academician Vladimir Andreevich Steklov, Trudy Mat. Inst. Steklova, 289, MAIK Nauka/Interperiodica, Moscow, 2015, 235–241; Proc. Steklov Inst. Math., 289 (2015), 221–226
Citation in format AMSBIB
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\paper Finite subgroups of diffeomorphism groups
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\bookinfo Collected papers. In commemoration of the 150th anniversary of Academician Vladimir Andreevich Steklov
\serial Trudy Mat. Inst. Steklova
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\vol 289
\pages 235--241
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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