Palacín Cruz, Daniel2024-02-032024-02-032019-07-24Palacín, Daniel. «On Compactifications and Product‐free Sets». Journal of the London Mathematical Society 101, n.o 1 (febrero de 2020): 156-74. https://doi.org/10.1112/jlms.12263.0024-61071469-775010.1112/jlms.12263https://hdl.handle.net/20.500.14352/98558A subset of a group is said to be product free if it does not contain three elements satisfying the equation x·y=z. We give a negative answer to a question of Babai and Sós on the existence of large product-free sets in finite groups by model theoretic means. This question was originally answered by Gowers. Furthermore, we give a natural and sufficient model theoretic condition for a group to have a large product-free subset, as well as a model theoretic account of a result of Nikolov and Pyber on triple products.engjournal articlehttps//doi.org/10.1112/jlms.12263open accessLógica simbólica y matemática (Matemáticas)1102.10 Teoría de Modelos1202.05 Análisis Combinatorio