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

Benson Farb; John Franks

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arXiv · math/0108091

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

Benson Farb·John Franks

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Abstract

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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Benson Farb, John Franks. 2018-06-01. Groups of diffeomorphisms of one-manifolds, III: Nilpotent subgroups. https://arxiv.org/abs/math/0108091

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