Finite subgroups of diffeomorphism groups

Vladimir L. Popov

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arXiv · 1310.6548

Finite subgroups of diffeomorphism groups

Vladimir L. Popov

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Abstract

We prove:(1) the existence, for every integer n > 3, of a noncompact smooth n-dimensional topological manifold whose diffeomorphism group contains an isomorphic copy of every finitely presented group; (2) a finiteness theorem on finite simple subgroups of diffeomorphism groups of compact smooth topological manifolds.

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BibTeX RIS

Vladimir L. Popov. 2014-01-06. Finite subgroups of diffeomorphism groups. https://arxiv.org/abs/1310.6548

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