An infinitely generated intersection of geometrically finite hyperbolic groups

Susskind, Perry

doi:10.1090/S0002-9939-01-05858-0

An infinitely generated intersection of geometrically finite hyperbolic groups
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Proc. Amer. Math. Soc. 129 (2001), 2643-2646 Request permission

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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