Abelian and Nondiscrete Convergence Groups on the Circle

DOI10.2307/2001230zbMath0699.30017OpenAlexW4245113331MaRDI QIDQ3477114

Aimo Hinkkanen

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2001230

zbMATH Keywords

Möbius transformationsgroupsconvergence groupFuchsianquasisymmetric transformations

Mathematics Subject Classification ID

Quasiconformal mappings in the complex plane (30C62) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items

The weak hyperbolization conjecture for 3-dimensional CAT(0)-groups. ⋮ Möbius-like groups of homeomorphisms of the circle ⋮ Examples of Möbius-like groups which are not Möbius groups ⋮ Actions de groupes de Kazhdan sur le cercle ⋮ Classification of continuously transitive circle groups ⋮ Extending homeomorphisms of the circle to quasiconformal homeomorphisms of the disk ⋮ On laminar groups, Tits alternatives and convergence group actions on \(\mathrm{S}^2\) ⋮ Locally compact convergence groups and \(n\)-transitive actions. ⋮ Induced quasi-actions: A remark ⋮ Quasisymmetric groups ⋮ The geometry of \(R\)-covered foliations

Cites Work

• Unnamed Item
• The structure of certain quasisymmetric groups
• Uniformly Quasisymmetric Groups
• Discrete Quasiconformal Groups I
• Homeomorphic conjugates of Fuchsian groups.

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