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CATEGORIES:Differential Geometry and Topology Seminar
SUMMARY:Free versus locally free Kleinian groups. - Juan S
outo\, Rennes
DTSTART;TZID=Europe/London:20140430T160000
DTEND;TZID=Europe/London:20140430T170000
UID:TALK49991AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/49991
DESCRIPTION:It is well-known that a finitely generated torsion
free Kleinian group without higher rank abelian s
ubgroups and whose limit set is a Cantor set is is
omorphic to a free group. What might be less well-
known is that this fails for infinitely generated
groups. Indeed one can prove that for each \\epsil
on>0 there is a torsion free non-elementary Kleini
an group whose limit set is a Cantor set of Hausdo
rff dimension at most 1+\\epsilon and which is not
free. On the other hand\, we prove that any torsi
on-free Kleinian group whose limit set has Hausdor
ff dimension less than 1 is indeed free. This is j
oin work with Pekka Pankka. \n
LOCATION:MR13
CONTACT:Ivan Smith
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