113 citations · 201 across the 20 of their papers we have counts for
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A note on approximate subgroups of GL_n(C) and uniformly nonamenable groups
Emmanuel Breuillard, Ben Green, Terence Tao
The aim of this brief note is to offer another proof of a theorem of Hrushovski that approximate subgroups of GL_n(C) are almost nilpotent. This approach generalizes to uniformly n…
Strongly dense free subgroups of semisimple algebraic groups
Emmanuel Breuillard, Ben Green, Robert Guralnick +1
We show that (with one possible exception) there exist strongly dense free subgroups in any semisimple algebraic group over a large enough field. These are nonabelian free subgroup…
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…