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Working paper

Finite subgroups of diffeomorphism groups

arxiv.org. math. Cornell University, 2013. No. 1310.6548v1 [math.GR] 24 Oct.
We prove (1) the existence of a noncompact smooth four-dimensional manifold M whose diffeomorphism group Diff(M) contains an isomorphic copy of every finitely presented group; (2) a finiteness theorem on finite simple subgroups of Diff(N) for compact manifolds N.