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SUMMARY:Francesco Fournier-Facio (University of Cambridge)
DTSTART:20240125T140500Z
DTEND:20240125T150000Z
DTSTAMP:20260423T003242Z
UID:GaTO/92
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GaTO/92/">In
 finite simple characteristic quotients</a>\nby Francesco Fournier-Facio (U
 niversity of Cambridge) as part of Geometry and topology online\n\nLecture
  held in Room B3.02 in the Zeeman Building\, University of Warwick.\n\nAbs
 tract\nThe rank of a finitely generated group is the minimal size of a gen
 erating set. Several questions that received a lot of attention around 50 
 years ago ask about the rank of finitely generated groups\, and how this r
 elates to the rank of their direct powers. In this context\, Wiegold asked
  about the existence of infinite simple characteristic quotients of free g
 roups. I will review this framework\, present several open questions - old
  and new - and present a solution to Wiegold's problem. \n\nThis is joint 
 with Remi Coulon.\n
LOCATION:https://researchseminars.org/talk/GaTO/92/
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