Algebraic & Geometric Topology 10 (2010) 2409–2418

DOI: 10.2140/agt.2010.10.2409

Abstract

We prove that the free group F₂ admits a faithful discrete representation into Diff₊¹[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 are studied.

Keywords

diffeomorphisms of the interval, discrete representation, free groups

Mathematical Subject Classification

Primary: 37E05

Secondary: 20F65

References

Publication

Received: 26 April 2010
Revised: 14 September 2010
Accepted: 15 September 2010
Published: 19 December 2010

Authors