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SUMMARY:The Saxl graph of a permutation group - Tim Burness (Bristol)
DTSTART:20180307T163000Z
DTEND:20180307T173000Z
UID:TALK96772@talks.cam.ac.uk
CONTACT:Eugenio Giannelli
DESCRIPTION:Let G be a permutation group on a set X and recall that a subs
 et of X is a base for G if its pointwise stabiliser is trivial. If G has a
  base of size 2\, then we can associate a graph to G\, with vertex set X a
 nd 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 to bases\
 , focussing on primitive groups and probabilistic methods for bounding the
  minimal size of a base. I will then introduce the Saxl graph and present 
 some of its basic properties (mainly in the context of a finite transitive
  group). I will finish by discussing some recent results and open problems
 . This is joint work with Michael Giudici.
LOCATION:MR12
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