BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Michael Giudici (The University of Western Australia\, Australia)
DTSTART:20200918T063000Z
DTEND:20200918T073000Z
DTSTAMP:20260404T145131Z
UID:SiN/4
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/SiN/4
 /">The synchronisation hierarchy for permutation groups</a>\nby Michael Gi
 udici (The University of Western Australia\, Australia) as part of Symmetr
 y in Newcastle\n\n\nAbstract\nThe concept of a synchronising permutation g
 roup was introduced nearly 15 years ago as a possible way of approaching T
 he \\v{C}ern\\'y Conjecture. Such groups must be primitive. In an attempt 
 to understand synchronising groups\, a whole hierarchy of properties for a
  permutation group has been developed\, namely\, 2-transitive groups\, $\\
 mathbb{Q}$I-groups\, spreading\, separating\, synchronising\, almost synch
 ronising and primitive.  Many surprising connections with other areas of m
 athematics such as finite geometry\, graph theory\, and design theory have
  arisen in the study of these properties. In this survey talk I will give 
 an overview of the hierarchy and discuss what is known about which groups 
 lie where.\n
LOCATION:https://stable.researchseminars.org/talk/SiN/4/
END:VEVENT
END:VCALENDAR