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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Commensurability of groups quasi-isometric to RAAG
&\;#39\;s - Jingyin Huang (McGill University)
DTSTART;TZID=Europe/London:20170111T090000
DTEND;TZID=Europe/London:20170111T100000
UID:TALK69878AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/69878
DESCRIPTION:It is well-known that a finitely generated group q
uasi-isometric to a free group is commensurable t
o a free group. We seek higher-dimensional genera
lization of this fact in the class of right-angled
Artin groups (RAAG). Let G be a RAAG with finite
outer automorphism group. Suppose in addition th
at the defining graph of G is star-rigid and has n
o induced 4-cycle. Then we show every finitely ge
nerated group quasi-isometric to G is commensurab
le to G. However\, if the defining graph of G cont
ains an induced 4-cycle\, then there always exist
s a group quasi-isometric to G\, but not commensu
rable to G. \;
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:info@newton.ac.uk
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