On the Perfectness of Nontransitive Groups of Diffeomorphisms

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78112It 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 pagesDifferential Geometry57R50; 57R30On the Perfectness of Nontransitive Groups of Diffeomorphismstext