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

Published electronically:
February 9, 2001

MathSciNet review:
1838787

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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.

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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