On the Perfectness of Nontransitive Groups of Diffeomorphisms
Differential Geometry
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/9902095,
title = {On the Perfectness of Nontransitive Groups of Diffeomorphisms},
author = {Stefan Haller and Tomasz Rybicki},
journal= {arXiv preprint arXiv:math/9902095},
year = {2007}
}
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16 pages