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CATEGORIES:Junior Algebra and Number Theory seminar
SUMMARY:Special and Extra Special Groups - Vladimir Vankov
\, University of Southampton
DTSTART;TZID=Europe/London:20190208T150000
DTEND;TZID=Europe/London:20190208T160000
UID:TALK118213AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/118213
DESCRIPTION:Bestvina-Brady presented examples of non-finitely
presented groups with finitely presented augmentat
ion ideal. Ian Leary generalised their constructio
n\, yielding groups which form uncountably many qu
asi-isometry classes\, are potential candidates to
resolve the relation gap problem\, and can be use
d to prove that every countable group embeds into
a group with finitely presented augmentation ideal
\, among other interesting properties. In my work\
, I apply the theory of special cube complexes\, a
s developed by Daniel Wise\, to obtain linear repr
esentations of these groups. While playing with th
e combinatorics of hyperplanes in complexes they a
ct on\, the class of extra special p-groups arises
as a terminological coincidence when determining
finite-index torsion-free subgroups.
LOCATION:CMS\, MR14
CONTACT:Stacey Law
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