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An infinitely generated intersection of geometrically finite hyperbolic groups
Author(s):
Perry
Susskind
Journal:
Proc. Amer. Math. Soc.
129
(2001),
2643-2646.
MSC (1991):
Primary 30F40;
Secondary 20H10
Posted:
February 9, 2001
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Abstract:
Two discrete, geometrically finite subgroups of the isometries of hyperbolic n-space ( ) are defined whose intersection is infinitely generated. This settles, in dimensions 4 and above, a long-standing question in Kleinian and hyperbolic groups reiterated at a problem session chaired by Bernard Maskit at the AMS meeting 898, March 3-5, 1995, a conference in honor of Bernard Maskit's 60th birthday.
References:
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Additional Information:
Perry
Susskind
Affiliation:
Department of Mathematics, Connecticut College, Box 5596, New London, Connecticut 06320
Email:
pdsus@conncoll.edu
DOI:
10.1090/S0002-9939-01-05858-0
PII:
S 0002-9939(01)05858-0
Keywords:
Hyperbolic groups,
geometrically finite
Received by editor(s):
January 7, 2000
Posted:
February 9, 2001
Additional Notes:
The author thanks William Abikoff and Andrew Haas for reading drafts of this note.
Dedicated:
In memory of my parents
Communicated by:
Jozef Dodziuk
Copyright of article:
Copyright
2001,
American Mathematical Society
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