Global rigidity of solvable group actions on \(S^1\)

DOI10.2140/gt.2004.8.877zbMath1079.57016arXivmath/0310498OpenAlexW2153066406MaRDI QIDQ1882836

Amie Wilkinson, Lizzie Burslem

Publication date: 1 October 2004

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

Full work available at URL: https://arxiv.org/abs/math/0310498

zbMATH Keywords

rigiditysolvable groupsBaumslag-Solitar groupsdiffeomorphisms of the circle

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Dynamical systems involving maps of the circle (37E10) Group actions on manifolds and cell complexes in low dimensions (57M60)

Related Items (18)

Local rigidity problem of smooth group actions ⋮ Rigidity for \(C^1\) actions on the interval arising from hyperbolicity. I: Solvable groups ⋮ Rigidity of some abelian-by-cyclic solvable group actions on \({\mathbb{T}}^N\) ⋮ Rigidity of certain solvable actions on the sphere ⋮ Local rigidity of certain solvable group actions on tori ⋮ Rigidity of trivial actions of abelian-by-cyclic groups ⋮ Multipass automata and group word problems ⋮ On spaces of Conradian group orderings ⋮ An algebraic classification of some solvable groups of homeomorphisms. ⋮ \(C^1\)-actions of Baumslag-Solitar groups on \(S^1\) ⋮ Continuous interval exchange actions ⋮ Local rigidity of certain actions of solvable groups on the boundaries of rank-one symmetric spaces ⋮ Dynamical forcing of circular groups ⋮ 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 ⋮ Questions and remarks on discrete and dense subgroups of Diff(I)

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