An infinitely generated intersection of geometrically finite hyperbolic groups
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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.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
- 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.
- Communicated by: Jozef Dodziuk
- © Copyright 2001 American Mathematical Society
- 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
- MathSciNet review: 1838787
Dedicated: In memory of my parents