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University of Cambridge > Talks.cam > Discrete Analysis Seminar > On a question of Babai and Sós, a model theoretic approach

## On a question of Babai and Sós, a model theoretic approachAdd to your list(s) Download to your calendar using vCal - Daniel Palacin (Freiburg)
- Wednesday 23 January 2019, 13:45-14:45
- MR11, CMS, Wilberforce Road, Cambridge, CB3 0WB.
If you have a question about this talk, please contact Aled Walker. In 1985, Babai and Sós asked whether there exists a constant c>0 such that every finite group of order n has a product-free set of size at least cn, where a product-free set of a group is a subset that does not contain three elements x, y and z satisfying xy=z. Gowers showed that the answer is no in the early 2000s, by linking the existence of product-free sets of large density to the existence of low dimensional unitary representations. In this talk, I will explain how one can answer the aforementioned question using model theoretic ideas, and relate the existence of product-free sets of large density to the existence of certain non-trivial group compactifications This talk is part of the Discrete Analysis Seminar series. ## This talk is included in these lists:- All CMS events
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- MR11, CMS, Wilberforce Road, Cambridge, CB3 0WB
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