On the Perfectness of Nontransitive Groups of Diffeomorphisms

Stefan Haller; Tomasz Rybicki

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On the Perfectness of Nontransitive Groups of Diffeomorphisms

Stefan Haller·Tomasz Rybicki

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Abstract

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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BibTeX RIS

Stefan Haller, Tomasz Rybicki. 1999-02-15. On the Perfectness of Nontransitive Groups of Diffeomorphisms. https://arxiv.org/abs/math/9902095

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