Abelianization of some groups of interval exchanges

DOI10.5802/aif.3466OpenAlexW3084989792MaRDI QIDQ2152463

Octave Lacourte

Publication date: 8 July 2022

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.07595

zbMATH Keywords

abelianizationinterval exchange

Mathematics Subject Classification ID

Geometric group theory (20F65) Cohomology of groups (20J06) Dynamical systems involving maps of the interval (37E05)

Related Items (1)

Uniform perfectness for interval exchange transformations with or without flips

Cites Work

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• On the commutator group of the group of interval exchange transformations
• Solvable groups of interval exchange transformations
• Discontinuity-growth of interval-exchange maps
• Distortion in groups of affine interval exchange transformations
• Ergodic theory of interval exchange maps
• Free groups of interval exchange transformations are rare
• Scissors congruences, I. The Gauss-Bonnet map.
• Simple groups of dynamical origin

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