On the Perfectness of Nontransitive Groups of Diffeomorphisms

Details On the Perfectness of Nontransitive Groups of Diffeomorphisms On the Perfectness of Nontransitive Groups of Diffeomorphisms

1999-02-15

arxiv.org/abs/math/9902095v1

Mathematics

Differential Geometry

16 pages

Scientific paper

It is proven that the identity component of the group preserving the leaves
of a generalized foliation is perfect. This shows that a well-known simplicity
theorem on the diffeomorphism group extends to the nontransitive case.

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