@Article{Kowalik2012,
author = "Kowalik, Agnieszka and Lech, Jacek and Michalik, Ilona",
title = "On the structure of certain nontransitive diffeomorphism groups on open manifolds",
journal = "Opuscula Math.",
year = "2012",
volume = "32",
number = "3",
pages = "511--520",
doi = "http://dx.doi.org/10.7494/OpMath.2012.32.3.511",
url = "http://dx.doi.org/10.7494/OpMath.2012.32.3.511",
abstract = "It is shown that in some generic cases the identity component of the group of leaf preserving diffeomorphisms (with not necessarily compact support) on a foliated open manifold is perfect. Next, it is proved that it is also bounded, i.e. bounded with respect to any bi-invariant metric. It follows that the group is uniformly perfect as well.",
keywords = "foliated manifold, bounded group, conjugation-invariant norm, group of diffeomorphisms, commutator, perfectness, uniform perfectness",
issn = "1232-9274"
}