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DTSTART:19700329T010000
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CATEGORIES:Junior Algebra and Number Theory seminar
SUMMARY:3/2-Generation of Finite Groups - Scott Harper\, U
niversity of Bristol
DTSTART;TZID=Europe/London:20160304T150000
DTEND;TZID=Europe/London:20160304T160000
UID:TALK64158AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/64158
DESCRIPTION:It is well known that every finite simple group ca
n be generated by two elements. Moreover\, two arb
itrary elements are very likely to generate the wh
ole group. For example\, every non-identity elemen
t of a finite simple group belongs to a generating
pair. Groups with the latter property are said to
be 3/2-generated. It is natural to ask which othe
r finite groups are 3/2-generated. In 2008\, Breue
r\, Guralnick and Kantor conjectured that a finite
group is 3/2-generated if and only if every prope
r quotient 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
CONTACT:Nicolas DuprÃ©
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