Approximate groups, III: the unitary case
Group Theory
2011-01-14 v2
Abstract
By adapting the classical proof of Jordan's theorem on finite subgroups of linear groups, we show that every approximate subgroup of the unitary group U_n(C) is almost abelian.
Keywords
Cite
@article{arxiv.1006.5160,
title = {Approximate groups, III: the unitary case},
author = {Emmanuel Breuillard and Ben Green},
journal= {arXiv preprint arXiv:1006.5160},
year = {2011}
}
Comments
19 pages, several revisions in the light of very helpful comments from the referee, including a simplification of the main argument