Groups of diffeomorphisms of one-manifolds, III: Nilpotent subgroups

Details Groups of diffeomorphisms of one-manifolds, III: Nilpotent subgroups Groups of diffeomorphisms of one-manifolds, III: Nilpotent subgroups

2001-08-13

arxiv.org/abs/math/0108091v1

Mathematics

Dynamical Systems

20 pages

Scientific paper

Plante-Thurston proved that every nilpotent subgroup of $\Diff^2(S^1)$ is
abelian. One of our main results is a sharp converse: $\Diff^1(S^1)$ contains
every finitely-generated, torsion-free nilpotent group.

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