Finite subgroups of diffeomorphism groups

V. L. Popov

Informatics and Automation, Selected issues of mathematics and mechanics, Tome 289 (2015), pp. 235-241.

Résumé

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.

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