On the Perfectness of Nontransitive Groups of Diffeomorphisms
classification
🧮 math.DG
keywords
groupnontransitivecasecomponentdiffeomorphismdiffeomorphismsextendsfoliation
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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.
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