On the commutator group of the group of interval exchange transformations

DOI10.1134/S0081543817040174zbMath1377.37064arXiv1109.1352MaRDI QIDQ1675247

Yaroslav Vorobets

Publication date: 27 October 2017

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.1352

zbMATH Keywords

interval exchange transformationcommutator group

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Dynamical systems involving maps of the interval (37E05)

Related Items (6)

Most interval exchanges have no roots ⋮ Abelianization of some groups of interval exchanges ⋮ Uniform perfectness for interval exchange transformations with or without flips ⋮ Uniform simplicity for subgroups of piecewise continuous bijections of the unit interval ⋮ Relations with a fixed interval exchange transformation ⋮ Groups of interval exchange transformations

Cites Work

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• Ergodic theory of interval exchange maps
• Subgroup of interval exchanges generated by torsion elements and rotations
• The Metric Theory of Interval Exchange Transformations III. The Sah-Arnoux-Fathi Invariant
• APPROXIMATIONS IN ERGODIC THEORY
• Interval exchange transformations

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