On the Perfectness of Nontransitive Groups of Diffeomorphisms

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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.
16 pages

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Differential Geometry, 57R50; 57R30

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http://salesiana.dossiersoluciones.com/handle/123456789/78112

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9902095
 http://arxiv.org/abs/math/9902095

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arXiv