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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Base-two permutation groups and applications - Tim
Burness (University of Bristol)
DTSTART;TZID=Europe/London:20220729T114000
DTEND;TZID=Europe/London:20220729T123000
UID:TALK176594AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/176594
DESCRIPTION:Let G be a primitive permutation group on a finite
set X and recall that a subset of X is a base for
G if its pointwise stabiliser is trivial. The bas
e size of G\, denoted b(G)\, is defined to be the
minimal size of a base. This natural invariant has
been intensively studied for many years\, finding
a wide range of applications. In this talk I will
report on recent progress concerning a project in
itiated by Jan Saxl in the 1990s\, which seeks to
determine all the primitive groups with b(G) = 2.
I will also outline some of the main applications
and I will highlight one or two related problems.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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