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CATEGORIES:Geometric Group Theory (GGT) Seminar
SUMMARY:Random triangular Burnside groups - John Mackay (B
ristol)
DTSTART;TZID=Europe/London:20190125T134500
DTEND;TZID=Europe/London:20190125T144500
UID:TALK118723AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/118723
DESCRIPTION:Burnside groups are groups where every element has
bounded order. A major theme in group theory ove
r the last hundred years is the challenge of deter
mining when/which finitely generated Burnside grou
ps can be \ninfinite. In another direction\, "ran
dom groups" are usually defined by taking quotient
s of a free group by a normal subgroup generated b
y suitably chosen random elements. Depending on e
xactly how one chooses \nthe number and length of
relations\, one typically gets hyperbolic groups.
These groups are infinite as long as not too many
relations are chosen\, and exhibit other interest
ing behaviour.\n\nOne could equally well consider
what happens if one takes random quotients of othe
r free objects\, such as free Burnside groups. I
will discuss recent joint work with Dominik Gruber
where we find a reasonable \nmodel for random (in
finite) Burnside groups\, building on earlier tool
s developed by Coulon and Coulonâ€“Gruber.
LOCATION:CMS\, MR5 **note the UNUSUAL venue**
CONTACT:Richard Webb
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