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SUMMARY:3/2-Generation - Scott Harper (University of Bristol)
DTSTART:20200213T160000Z
DTEND:20200213T170000Z
UID:TALK139273@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Many interesting and surprising results have arisen from study
 ing generating sets for groups\, especially simple groups. For example\, e
 very finite simple group can be generated by just two elements. In fact\,&
 nbsp\;Guralnick and Kantor\, in&nbsp\;2000\,&nbsp\;proved that in a finite
  simple group every nontrivial element is contained in a generating pair\,
  a property known as 3/2-generation. This answers a&nbsp\;1962&nbsp\;quest
 ion&nbsp\;of Steinberg. In this talk I will report on recent progress towa
 rds classifying the finite 3/2-generated groups\, and I will discuss joint
  work with Casey Donoven in which we found the first nontrivial examples o
 f infinite 3/2-generated groups.  <br><br><br><br><br>
LOCATION:Seminar Room 2\, Newton Institute
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