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SUMMARY:Special and Extra Special Groups - Vladimir Vankov\, University of
  Southampton
DTSTART:20190208T150000Z
DTEND:20190208T160000Z
UID:TALK118213@talks.cam.ac.uk
CONTACT:Stacey Law
DESCRIPTION:Bestvina-Brady presented examples of non-finitely presented gr
 oups with finitely presented augmentation ideal. Ian Leary generalised the
 ir construction\, yielding groups which form uncountably many quasi-isomet
 ry classes\, are potential candidates to resolve the relation gap problem\
 , and can be used to prove that every countable group embeds into a group 
 with finitely presented augmentation ideal\, among other interesting prope
 rties. In my work\, I apply the theory of special cube complexes\, as deve
 loped by Daniel Wise\, to obtain linear representations of these groups. W
 hile playing with the combinatorics of hyperplanes in complexes they act o
 n\, the class of extra special p-groups arises as a terminological coincid
 ence when determining finite-index torsion-free subgroups.
LOCATION:CMS\, MR14
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