@Article{Lech2008,
author = "Lech, Jacek",
title = "On the perfectness of C<sup>∞,s</sup>-diffeomorphism groups on a foliated manifold",
journal = "Opuscula Math.",
year = "2008",
volume = "28",
number = "3",
pages = "313--324",
doi = "http://dx.doi.org/10.7494/OpMath.2008.28.3.313",
url = "http://dx.doi.org/10.7494/OpMath.2008.28.3.313",
abstract = "The notion of \(C^{r,s}\) and \(C^{\infty,s}\)-diffeomorphisms is introduced. It is shown that the identity component of the group of leaf preserving \(C^{\infty,s}\)-diffeomorphisms with compact supports is perfect. This result is a modification of the Mather and Epstein perfectness theorem.",
keywords = "group of \(C^{\infty}\)-diffeomorphisms, perfectness, commutator, foliation",
issn = "1232-9274"
}