no. 11-12
Combinatorics/Number Theory
Some consequences of the Polynomial Freiman–Ruzsa Conjecture

Presented by: Jean Bourgain

Chang, Mei-Chu1
1 Department of Mathematics, University of California, Riverside, CA 92521, USA
Comptes Rendus. Mathématique, Volume 347 (2009) no. 11-12, pp. 583-588.

Assuming the Weak Polynomial Freiman–Ruzsa Conjecture, we derive some consequences on sum-products and the growth of subsets of SL3(C).

En supposant la conjecture polynomiale faible de Freiman–Ruzsa, on en déduit certaines conséquences sur les ensembles sommes-produits ainsi que sur la croissance de sous-ensembles de SL3(C).

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2009.04.006
Chang, Mei-Chu 1

1 Department of Mathematics, University of California, Riverside, CA 92521, USA 
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Chang, Mei-Chu. Some consequences of the Polynomial Freiman–Ruzsa Conjecture. Comptes Rendus. Mathématique, Volume 347 (2009) no. 11-12, pp. 583-588. doi : 10.1016/j.crma.2009.04.006. http://www.numdam.org/articles/10.1016/j.crma.2009.04.006/

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