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SUMMARY:Pyber's base size conjecture - Tim Burness (Bristol)
DTSTART:20131030T163000Z
DTEND:20131030T173000Z
UID:TALK48434@talks.cam.ac.uk
CONTACT:David Stewart
DESCRIPTION:Let G be a permutation group on a set X. A subset B of X is a 
 base for G if the pointwise stabilizer of B in G is trivial. The base size
  of G\, denoted b(G)\, is the smallest size of a base for G. A well known 
 conjecture of Pyber from the early 1990s asserts that there is an absolute
  constant c such that b(G) is at most c.log |G|/log n for any primitive gr
 oup G of degree n. Several special cases have been verified in recent year
 s\, and I will report on recent joint work with Akos Seress that establish
 es the conjecture for all non-affine groups.\n
LOCATION:MR12
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