Quasiconformal groups of compact type

• Autores: P. Bonfert-Taylor, G. Martin
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 21, Nº 3, 2005, págs. 997-1012
• Idioma: inglés
• DOI: 10.4171/rmi/442
• Títulos paralelos:
  • Grupos cuasiconformes de tipo compacto.
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• Resumen

  • We establish that a quasiconformal group is of compact type if and only if its limits set is purely conical and find that the limit set of a quasiconformal group of compact type is uniformly perfect. A key tool is the result of Bowditch-Tukia on compact-type convergence groups. These results provide crucial tools for studying the deformations of quasiconformal groups and in establishing isomorphisms between such groups and conformal groups.