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SUMMARY:Conjugacy Growth of Finitely Generated Groups - Alex Evetts (Herio
 t-Watt)
DTSTART:20190315T134500Z
DTEND:20190315T144500Z
UID:TALK117700@talks.cam.ac.uk
CONTACT:Richard Webb
DESCRIPTION:The conjugacy growth function of a finitely generated group co
 unts the conjugacy classes that one can spell with n generators (just as t
 he standard growth function counts group elements). Like standard growth\,
  the asymptotic behaviour of this function is independent of the choice of
  finite generating set (although it is not a QI invariant). I will give an
  overview of what is known about this function\, and its associated formal
  power series\, and discuss various approaches for their study. In particu
 lar\, I will outline how Benson's 'patterns' for a virtually abelian group
  can be used to study the conjugacy growth series\, and talk about the sit
 uation in some nilpotent groups.\n\n
LOCATION:CMS\, MR13
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