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Regular version of the site

Article

Finite subgroups of diffeomorphism groups

We prove the following: (1) the existence, for every integer n ≥ 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.