Approximate groups, II: the solvable linear case
Group Theory
2009-07-07 v1 Combinatorics
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.
Cite
@article{arxiv.0907.0927,
title = {Approximate groups, II: the solvable linear case},
author = {Emmanuel Breuillard and Ben Green},
journal= {arXiv preprint arXiv:0907.0927},
year = {2009}
}
Comments
10 pages