On the Perfectness of Nontransitive Groups of Diffeomorphisms

1999/02/15 by Stefan Haller, Haller, Stefan, Tomasz Rybicki +1
Mathematics · #Advanced Differential Equations and Dynamical Systems #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #math.DG #msc:57R30 #msc:57R50

paper · pdf · doi:10.48550/arxiv.math/9902095

16 pages

arxiv created 1999/02/15 · arxiv updated 2009/11/30

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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