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DTSTART:19700329T010000
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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:3/2-Generation - Scott Harper (University of Brist
 ol)
DTSTART;TZID=Europe/London:20200213T160000
DTEND;TZID=Europe/London:20200213T170000
UID:TALK139273AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/139273
DESCRIPTION:Many interesting and surprising results have arise
 n from studying generating sets for groups\, espec
 ially simple groups. For example\, every finite si
 mple group can be generated by just two elements. 
 In fact\,&nbsp\;Guralnick and Kantor\, in&nbsp\;20
 00\,&nbsp\;proved that in a finite simple group ev
 ery nontrivial element is contained in a generatin
 g pair\, a property known as 3/2-generation. This 
 answers a&nbsp\;1962&nbsp\;question&nbsp\;of Stein
 berg. In this talk I will report on recent progres
 s towards classifying the finite 3/2-generated gro
 ups\, and I will discuss joint work with Casey Don
 oven in which we found the first nontrivial exampl
 es of infinite 3/2-generated groups.  <br><br><br>
 <br><br>
LOCATION:Seminar Room 2\, Newton Institute
CONTACT:INI IT
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