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SUMMARY:Michael Giudici (The University of Western Australia\, Australia)
DTSTART:20200918T063000Z
DTEND:20200918T073000Z
DTSTAMP:20260423T021242Z
UID:SiN/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SiN/4/">The 
 synchronisation hierarchy for permutation groups</a>\nby Michael Giudici (
 The University of Western Australia\, Australia) as part of Symmetry in Ne
 wcastle\n\n\nAbstract\nThe concept of a synchronising permutation group wa
 s introduced nearly 15 years ago as a possible way of approaching The \\v{
 C}ern\\'y Conjecture. Such groups must be primitive. In an attempt to unde
 rstand synchronising groups\, a whole hierarchy of properties for a permut
 ation group has been developed\, namely\, 2-transitive groups\, $\\mathbb{
 Q}$I-groups\, spreading\, separating\, synchronising\, almost synchronisin
 g and primitive.  Many surprising connections with other areas of mathemat
 ics 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 over
 view of the hierarchy and discuss what is known about which groups lie whe
 re.\n
LOCATION:https://researchseminars.org/talk/SiN/4/
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