University of Birmingham > Talks@bham > Combinatorics and Probability Seminar > Partial associativity in Latin squares

Partial associativity in Latin squares

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  • UserJason Long (University of Oxford)
  • ClockThursday 24 October 2019, 14:00-15:00
  • HouseWatson LTB.

If you have a question about this talk, please contact Eoin Long.

Latin squares arise from the multiplication tables of groups, but the converse is not true in general. Given a Latin square A, we can define a group operation giving A as its multiplication table only when A satisfies a suitable associativity constraint. This observation leads to a natural question, originating with Hrushovski, concerning the ‘1%’ version: if A is only partially associative, can we still obtain something resembling a group structure? I will talk about some joint work with Tim Gowers on this question.

This talk is part of the Combinatorics and Probability Seminar series.

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