A complete characterization of reversibility in \(PL (S)\)

DOI10.1016/j.jmaa.2023.127553zbMath1527.57025OpenAlexW4382933323MaRDI QIDQ6115680

Khadija Ben Rejeb

Publication date: 10 August 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2023.127553

zbMATH Keywords

rotation numberreversibleinvolutionjumpstrongly reversiblepiecewise linear homeomorphism of the circle with finite break points

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05)

Cites Work

• Unnamed Item
• Reversible maps and composites of involutions in groups of piecewise linear homeomorphisms of the real line
• Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
• Classification of exotic circles of \(PL_+(S^1)\)
• Reversibility in groups of piecewise linear homeomorphisms of the circle
• On strong reality of finite simple groups.
• Rotation numbers in Thompson-Stein groups and applications
• PRESENTATIONS, CONJUGACY, ROOTS, AND CENTRALIZERS IN GROUPS OF PIECEWISE LINEAR HOMEOMORPHISMS OF THE REAL LINE
• Reversibility in the group of homeomorphisms of the circle
• Real conjugacy classes in algebraic groups and finite groups of Lie type

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