Intersecting limit sets of Kleinian subgroups and Susskind’s question

Das, Tushar; Simmons, David

doi:10.1090/proc/14357

Intersecting limit sets of Kleinian subgroups and Susskind’s question
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by Tushar Das and David Simmons PDF

Proc. Amer. Math. Soc. 148 (2020), 3203-3207 Request permission

Abstract:

We construct a non-elementary Fuchsian group that admits two non-elementary subgroups with trivial intersection and whose radial limit sets intersect non-trivially. This negatively answers a question of Perry Susskind [J. Analyse Math. 52 (1989), pp. 26–38] that was stated as a conjecture by James W. Anderson [Comput. Methods Funct. Theory 14 (2014), no. 2-3, pp. 453–464].

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