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SUMMARY:Bases of primitive diagonal groups - Joanna Fawcett (University of
  Cambridge)
DTSTART:20111202T140000Z
DTEND:20111202T150000Z
UID:TALK34118@talks.cam.ac.uk
CONTACT:Joanna Fawcett
DESCRIPTION:A base B of a finite permutation group G acting on a set Ω is
  a subset of Ω with the property that only the identity can fix every poi
 nt of B. Classically\, bases have played an important role in the 150-year
 -old problem of bounding the order of a primitive permutation group in ter
 ms of its degree. Moreover\, bases provide a more efficient way of storing
  actions of groups\, and so they are used in various algorithms in computa
 tional group theory. In recent years\, much work has been done on bounding
  the minimal size of a base of a primitive permutation group. After survey
 ing some of the main results on this topic\, we will look more closely at 
 the base size of one of the five types of primitive permutation groups (as
  classified by the O’Nan–Scott Theorem)\, namely\, the groups of diago
 nal type. 
LOCATION:MR4
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