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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Base-two permutation groups and applications

## Base-two permutation groups and applicationsAdd to your list(s) Download to your calendar using vCal - Tim Burness (University of Bristol)
- Friday 29 July 2022, 11:40-12:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact nobody. GR2W02 - Simple groups, representations and applications 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 base 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 initiated 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. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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