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CATEGORIES:Algebra and Representation Theory Seminar
SUMMARY:The Saxl graph of a permutation group - Tim Burnes
s (Bristol)
DTSTART;TZID=Europe/London:20180307T163000
DTEND;TZID=Europe/London:20180307T173000
UID:TALK96772AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/96772
DESCRIPTION:Let G be a permutation group on a set X and recall
that a subset of X is a base for G if its pointwi
se stabiliser is trivial. If G has a base of size
2\, then we can associate a graph to G\, with vert
ex set X and two points joined by an edge if they
form a base. We call this the Saxl graph of G. In
this talk I will start with a brief introduction t
o bases\, focussing on primitive groups and probab
ilistic methods for bounding the minimal size of a
base. I will then introduce the Saxl graph and pr
esent some of its basic properties (mainly in the
context of a finite transitive group). I will fini
sh by discussing some recent results and open prob
lems. This is joint work with Michael Giudici.
LOCATION:MR12
CONTACT:Eugenio Giannelli
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