Volume 10, issue 4 (2010)

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On free discrete subgroups of $\mathrm{Diff}(I)$

Azer Akhmedov

Algebraic & Geometric Topology 10 (2010) 2409–2418
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 2000
Primary: 37E05
Secondary: 20F65
References
Publication
Received: 26 April 2010
Revised: 14 September 2010
Accepted: 15 September 2010
Published: 19 December 2010
Authors
Azer Akhmedov
Department of Mathematics
North Dakota State University
Fargo ND 58102
USA