Finite $C^{\infty}$-actions are described by a single vector field
Finite $C^{\infty}$-actions are described by a single vector field
In this work it is shown that given a connected C^{\infty} -manifold M of dimension \geq 2 and a finite subgroup G\subset \operatorname{Diff}(M) , there exists a complete vector field X on M such that its automorphism group equals G\times \mathbb{R} , where the factor \mathbb{R} comes from the flow …