Commensurators of non-free finitely generated Kleinian groups

Details Commensurators of non-free finitely generated Kleinian groups Commensurators of non-free finitely generated Kleinian groups

2009-08-17

arxiv.org/abs/0908.2272v1

Mathematics

Geometric Topology

15 pages, 1 figure

Scientific paper

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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