Quasiconformal groups of compact type.

Bonfert-Taylor, Petra, and Martin, Gaven. "Quasiconformal groups of compact type.." Revista Matemática Iberoamericana 21.3 (2005): 997-1012. <http://eudml.org/doc/41957>.

@article{Bonfert2005,
abstract = {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.},
author = {Bonfert-Taylor, Petra, Martin, Gaven},
journal = {Revista Matemática Iberoamericana},
keywords = {Grupos de Klein; Grupos de transformación; Grupo conforme; Aplicaciones cuasiconformes; Quasiconformal groups; convergence groups; geometric finiteness; conical limit set},
language = {eng},
number = {3},
pages = {997-1012},
title = {Quasiconformal groups of compact type.},
url = {http://eudml.org/doc/41957},
volume = {21},
year = {2005},
}

TY - JOUR
AU - Bonfert-Taylor, Petra
AU - Martin, Gaven
TI - Quasiconformal groups of compact type.
JO - Revista Matemática Iberoamericana
PY - 2005
VL - 21
IS - 3
SP - 997
EP - 1012
AB - 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.
LA - eng
KW - Grupos de Klein; Grupos de transformación; Grupo conforme; Aplicaciones cuasiconformes; Quasiconformal groups; convergence groups; geometric finiteness; conical limit set
UR - http://eudml.org/doc/41957
ER -