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The limit sets of Schottky quasiconformal groups are uniformly perfect
Author(s):
Xiaosheng
Li
Journal:
Trans. Amer. Math. Soc.
357
(2005),
2119-2132.
MSC (2000):
Primary 30C65
Posted:
January 27, 2005
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Abstract:
In this paper we study Schottky quasiconformal groups. We show that the limit sets of Schottky quasiconformal groups are uniformly perfect, and that the limit set of a given discrete non-elementary quasiconformal group has positive Hausdorff dimension.
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Additional Information:
Xiaosheng
Li
Affiliation:
Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 West Green Street, Urbana, Illinois 61801
Address at time of publication:
Division of Science & Mathematics, University of Minnesota, Morris, 600 East 4th Street, Morris, Minnesota 56267
Email:
xli5@math.uiuc.edu, lixiao@umn.edu
DOI:
10.1090/S0002-9947-05-03870-5
PII:
S 0002-9947(05)03870-5
Keywords:
Schottky quasiconformal group,
uniformly perfect
Received by editor(s):
July 23, 2002
Posted:
January 27, 2005
Copyright of article:
Copyright
2005,
American Mathematical Society
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