Approximate groups, II: the solvable linear case

Details Approximate groups, II: the solvable linear case Approximate groups, II: the solvable linear case

2009-07-06

arxiv.org/abs/0907.0927v1

Mathematics

Group Theory

10 pages

Scientific paper

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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