113 citations · 201 across the 20 of their papers we have counts for
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math.GR2009★ 4 cited
Approximate groups, II: the solvable linear case
Emmanuel Breuillard, Ben Green
We describe the structure of "K-approximate subgroups'' of solvable subgroups of GL_n(C), showing that they have a large nilpotent piece. By combining this with the main result of…
math.CO2009★ 4 cited
Approximate groups, I: the torsion-free nilpotent case
Emmanuel Breuillard, Ben Green
We describe the structure of ``K-approximate subgroups'' of torsion-free nilpotent groups, paying particular attention to Lie groups. Three other works, by Fisher-Katz-Peng, Sander…
math.NT2009★ 8 cited
Sum-product phenomena in F_p: a brief introduction
Ben Green
These notes arose from my Cambridge Part III course on Additive Combinatorics, given in Lent Term 2009. The aim was to understand the simplest proof of the Bourgain-Glibichuk-Konya…