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An infinitely generated intersection of geometrically finite hyperbolic groups


Author: Perry Susskind
Journal: Proc. Amer. Math. Soc. 129 (2001), 2643-2646
MSC (1991): Primary 30F40; Secondary 20H10
DOI: https://doi.org/10.1090/S0002-9939-01-05858-0
Published electronically: February 9, 2001
MathSciNet review: 1838787
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Abstract:

Two discrete, geometrically finite subgroups of the isometries of hyperbolic n-space ($n \ge 4$) 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.


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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: https://doi.org/10.1090/S0002-9939-01-05858-0
Keywords: Hyperbolic groups, geometrically finite
Received by editor(s): January 7, 2000
Published electronically: 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
Article copyright: © Copyright 2001 American Mathematical Society

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