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CATEGORIES:Geometric Group Theory (GGT) Seminar
SUMMARY:The abstract commensurator of Out(F_3) - Ric Wade
(Oxford)
DTSTART;TZID=Europe/London:20181012T134500
DTEND;TZID=Europe/London:20181012T144500
UID:TALK110758AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/110758
DESCRIPTION:A theorem of Farb and Handel states that when n is
greater than or equal to 4\, every isomorphism be
tween two finite index subgroups of Out(F_n) is in
duced by conjugation in the group. In joint work w
ith Camille Horbez\, we show that this is also tru
e in the case when n=3. The proof proceeds in the
spirit of Ivanov's work on the mapping class group
and utilizes the action of Out(F_3) and its subgr
oups on relative free factor graphs and their boun
daries. Time permitting\, I will also discuss gene
ralizations of the proof to other normal subgroups
of Out(F_3) or in the case where n is arbitrary.
LOCATION:CMS\, MR13
CONTACT:Richard Webb
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