134 citations · 268 across the 31 of their papers we have counts for
4 papers · 2 filters
Groups of diffeomorphisms of one-manifolds, III: Nilpotent subgroups
Benson Farb, John Franks
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, to…
Groups of homeomorphisms of one-manifolds, I: actions of nonlinear groups
Benson Farb, John Franks
This self-contained paper is part of a series \cite{FF2,FF3} on actions by diffeomorphisms of infinite groups on compact manifolds. The two main results presented here are: 1) Any…
Groups of homeomorphisms of one-manifolds, III: Nilpotent subgroups
Benson Farb, John Franks
This paper has been withdrawn by the authors; it will be incorporated into part I of the series (in preparation).
Group actions on one-manifolds, II: Extensions of Hölder's Theorem
Benson Farb, John Franks
We study groups of homeomorphisms of R, each of whose elements have at most one fixed point. In particular we prove that any such group of C^2 diffeomorphisms is topologically conj…