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Commensurators of non-free finitely generated Kleinian groups.

Tue, 08/18/2009 - 11:53 — SomNambul
Authors: C. J. Leininger, D. D. Long, A. W. Reid
Subjects: Geometric Topology
link: http://arxiv.org/abs/0908.2272
Abstract

Suppose G is a non-free finitely generated Kleinian group without parabolics
which is not a lattice and let C(G) denote the commensurator in PSL(2,C). We
prove that if the limit set of G is not a round circle, then C(G) is discrete.
Furthermore, G has finite index in C(G) unless G is a fiber group in which case
C(G) is a lattice.

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