Groups of diffeomorphisms of one-manifolds, III: Nilpotent subgroups
Benson Farb, John Franks
Abstract
Plante-Thurston proved that every nilpotent subgroup of 2(S1) is abelian. One of our main results is a sharp converse: 1(S1) contains every finitely-generated, torsion-free nilpotent group.
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