Free groups of interval exchange transformations are rare

DOI10.4171/GGD/209zbMath1371.37075arXiv1101.5909OpenAlexW2963327071MaRDI QIDQ2637227

Koji Fujiwara, Vincent Guirardel, François Dahmani

Publication date: 7 February 2014

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.5909

zbMATH Keywords

Lie groupfree groupgroup of diffeomorphismsinterval exchange transformation

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Other groups related to topology or analysis (20F38) Dynamical systems involving maps of the interval (37E05) General groups of measure-preserving transformations and dynamical systems (37A15)

Related Items (12)

Abelianization of some groups of interval exchanges ⋮ Property FW and 1-dimensional piecewise groups ⋮ Uniform perfectness for interval exchange transformations with or without flips ⋮ A commutator lemma for confined subgroups and applications to groups acting on rooted trees ⋮ Relations with a fixed interval exchange transformation ⋮ Solvable groups of interval exchange transformations ⋮ Extensive amenability and an application to interval exchanges ⋮ Realizations of groups of piecewise continuous transformations of the circle ⋮ Inverted orbits of exclusion processes, diffuse-extensive-amenability, and (non-?)amenability of the interval exchanges ⋮ Groups of interval exchange transformations ⋮ Commensurating actions for groups of piecewise continuous transformations ⋮ Distortion in groups of affine interval exchange transformations

Cites Work

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• A sofic group away from amenable groups.
• Endomorphisms of symbolic algebraic varieties
• Introductory notes on Richard Thompson's groups
• Model Theory
• On Everywhere Dense Imbedding of Free Groups in Lie Groups

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