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The identity component of the leaf preserving diffeomorphism group is perfect

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Abstract

It is shown that for any smooth foliated manifold the identity component of the group of all leaf preserving diffeomorphisms is perfect. This result generalizes in a sense a well-known theorem of Thurston.

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Rybicki, T. The identity component of the leaf preserving diffeomorphism group is perfect. Monatshefte für Mathematik 120, 289–305 (1995). https://doi.org/10.1007/BF01294862

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