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SUMMARY:Simple binary permutation groups - Nick Gill (The Open University)
DTSTART:20220607T101500Z
DTEND:20220607T111500Z
UID:TALK175295@talks.cam.ac.uk
DESCRIPTION:The notion of a &ldquo\;binary&rdquo\; permutation group is du
 e to the model theorist\, Gregory Cherlin. Roughly speaking\, if G is a pe
 rmutation group on a set X\, then we call G &ldquo\;binary&rdquo\; if the 
 orbits of G on X^n\, for any positive integer n\, can be determined from t
 he orbits of G on X^2. This notion has close connections to the concept of
  a &ldquo\;homogeneous relational structure&rdquo\;.\nThanks to the work o
 f various authors we have a full classification of the finite binary PRIMI
 TIVE permutation groups. In this talk I will discuss recent work aimed at 
 extending this classification to imprimitive permutation groups and even i
 ntransitive permutation groups. My main focus will be on the situation whe
 re the permutation group is simple.
LOCATION:Seminar Room 2\, Newton Institute
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