Quasiconformal groups of compact type
Bonfert-Taylor, Petra ; Martin, Gaven
Rev. Mat. Iberoamericana, Tome 21 (2005) no. 2, p. 997-1012 / Harvested from Project Euclid
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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.
Publié le : 2005-03-14
Classification:  quasiconformal groups,  convergence groups,  geometric finiteness,  conical limit set,  57S30,  30C65,  30F40,  20H10 
@article{1136999138,
     author = {Bonfert-Taylor, Petra and Martin, Gaven},
     title = {Quasiconformal groups of compact type},
     journal = {Rev. Mat. Iberoamericana},
     volume = {21},
     number = {2},
     year = {2005},
     pages = { 997-1012},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1136999138}
}

Bonfert-Taylor, Petra; Martin, Gaven. Quasiconformal groups of compact type. Rev. Mat. Iberoamericana, Tome 21 (2005) no. 2, pp.  997-1012. http://gdmltest.u-ga.fr/item/1136999138/