On free discrete subgroups of Diff(I)

Abstract

We prove that a free group F_2 admits a faithful discrete representation into Diff_{+}(I). We also prove that F_2 admits a faithful discrete representation into Homeo_{+}(I). Some properties of these representations have been studied. In the last section we raise several questions.

References in corpus (2)

• A finitely generated, locally indicable group with no faithful action by C^1 diffeomorphisms of the interval
• Nonsmoothable, locally indicable group actions on the interval