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arXiv · 0907.0927

Approximate groups, II: the solvable linear case

Emmanuel Breuillard·Ben Green
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Abstract

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 our recent paper on approximate subgroups of torsion-free nilpotent groups, we show that such approximate subgroups are efficiently controlled by nilpotent progressions.

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Emmanuel Breuillard, Ben Green. 2009-07-06. Approximate groups, II: the solvable linear case. https://arxiv.org/abs/0907.0927

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