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SUMMARY:Free versus locally free Kleinian groups. - Juan Souto\, Rennes
DTSTART:20140430T150000Z
DTEND:20140430T160000Z
UID:TALK49991@talks.cam.ac.uk
CONTACT:Ivan Smith
DESCRIPTION:It is well-known that a finitely generated torsion free Kleini
 an group without higher rank abelian subgroups and whose limit set is a Ca
 ntor set is isomorphic to a free group. What might be less well-known is t
 hat this fails for infinitely generated groups. Indeed one can prove that 
 for each \\epsilon>0 there is a torsion free non-elementary Kleinian group
  whose limit set is a Cantor set of Hausdorff dimension at most 1+\\epsilo
 n and which is not free. On the other hand\, we prove that any torsion-fre
 e Kleinian group whose limit set has Hausdorff dimension less than 1 is in
 deed free. This is join work with Pekka Pankka. \n
LOCATION:MR13
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