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SUMMARY:Random triangular Burnside groups - John Mackay (Bristol)
DTSTART:20190125T134500Z
DTEND:20190125T144500Z
UID:TALK118723@talks.cam.ac.uk
CONTACT:Richard Webb
DESCRIPTION:Burnside groups are groups where every element has bounded ord
 er.  A major theme in group theory over the last hundred years is the chal
 lenge of determining when/which finitely generated Burnside groups can be 
 \ninfinite.  In another direction\, "random groups" are usually defined by
  taking quotients of a free group by a normal subgroup generated by suitab
 ly chosen random elements.  Depending on exactly how one chooses \nthe num
 ber and length of relations\, one typically gets hyperbolic groups.  These
  groups are infinite as long as not too many relations are chosen\, and ex
 hibit other interesting behaviour.\n\nOne could equally well consider what
  happens if one takes random quotients of other free objects\, such as fre
 e Burnside groups.  I will discuss recent joint work with Dominik Gruber w
 here we find a reasonable \nmodel for random (infinite) Burnside groups\, 
 building on earlier tools developed by Coulon and Coulon–Gruber.
LOCATION:CMS\, MR5 **note the UNUSUAL venue**
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