Free versus locally free Kleinian groups.
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 Juan Souto, Rennes
 Wednesday 30 April 2014, 16:0017:00
 MR13.
If you have a question about this talk, please contact Ivan Smith.
It is wellknown that a finitely generated torsion free Kleinian group without higher rank abelian subgroups and whose limit set is a Cantor set is isomorphic to a free group. What might be less wellknown is that this fails for infinitely generated groups. Indeed one can prove that for each \epsilon>0 there is a torsion free nonelementary Kleinian group whose limit set is a Cantor set of Hausdorff dimension at most 1+\epsilon and which is not free. On the other hand, we prove that any torsionfree Kleinian group whose limit set has Hausdorff dimension less than 1 is indeed free. This is join work with Pekka Pankka.
This talk is part of the Differential Geometry and Topology Seminar series.
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