ON FREE DISCRETE SUBGROUPS OF Diff(I)
نویسنده
چکیده
We prove that a free group F2 admits a faithful discrete representation into Diff +[0, 1]. We also prove that F2 admits a faithful discrete representation of bi-Lipschitz class into Homeo+[0, 1]. Some properties of these representations have been studied. In the last section of the paper we raise several questions.
منابع مشابه
Groups of homeomorphisms of one-manifolds, III: Nilpotent subgroups
This self-contained paper is part of a series [FF1, FF2] seeking to understand groups of homeomorphisms of manifolds in analogy with the theory of Lie groups and their discrete subgroups. Plante-Thurston proved that every nilpotent subgroup of Diff(S) is abelian. One of our main results is a sharp converse: Diff(S) contains every finitely-generated, torsion-free nilpotent group.
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