\(C^1\)-actions of Baumslag-Solitar groups on \(S^1\)

DOI10.2140/AGT.2011.11.1701zbMath1221.37048arXiv1010.4133OpenAlexW3099895494MaRDI QIDQ541305

Nancy Guelman, Isabelle Liousse

Publication date: 7 June 2011

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.4133

zbMATH Keywords

circle diffeomorphismsemiconjugationsolvable Baumslag-Solitar group

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Dynamical systems involving maps of the circle (37E10) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85)

Related Items (12)

Rigidity for \(C^1\) actions on the interval arising from hyperbolicity. I: Solvable groups ⋮ Rigidity of certain solvable actions on the sphere ⋮ Nilpotent dynamics in dimension one: structure and smoothness ⋮ Actions of solvable Baumslag-Solitar groups on surfaces with (pseudo)-Anosov elements ⋮ Multipass automata and group word problems ⋮ A finitely presented infinite simple group of homeomorphisms of the circle ⋮ Centralizers of \(C^1\)-contractions of the half line ⋮ Global rigidity of some abelian-by-cyclic group actions on \(\mathbb{T}^2\) ⋮ Hyperbolicity as an obstruction to smoothability for one-dimensional actions ⋮ Any Baumslag–Solitar action on surfaces with a pseudo-Anosov element has a finite orbit ⋮ Diffeomorphism groups of critical regularity ⋮ Sur les rapprochements par conjugaison en dimension 1 et classe

Cites Work

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• Solvable groups of diffeomorphisms of the interval, the circle, and the real line
• Global rigidity of solvable group actions on \(S^1\)
• On spaces of Conradian group orderings
• Solvable Groups Acting on the Line
• Groups of homeomorphisms of one-manifolds III: nilpotent subgroups

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