BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:3/2-Generation of Finite Groups - Scott Harper\, University of Bri
 stol
DTSTART:20160304T150000Z
DTEND:20160304T160000Z
UID:TALK64158@talks.cam.ac.uk
CONTACT:Nicolas Dupré
DESCRIPTION:It is well known that every finite simple group can be generat
 ed by two elements. Moreover\, two arbitrary elements are very likely to g
 enerate the whole group. For example\, every non-identity element of a fin
 ite simple group belongs to a generating pair. Groups with the latter prop
 erty are said to be 3/2-generated. It is natural to ask which other finite
  groups are 3/2-generated. In 2008\, Breuer\, Guralnick and Kantor conject
 ured that a finite group is 3/2-generated if and only if every proper quot
 ient of the group is cyclic. In this talk we will discuss recent progress 
 towards establishing this conjecture\, where probabilistic techniques play
  a key role. We will also discuss some related open problems.
LOCATION:CMS\, MR4
END:VEVENT
END:VCALENDAR