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.

DOI

10.3906/mat-1006-399

Keywords

Approximate groups, Gromov's theorem

First Page

199

Last Page

215

Recommended Citation

BREUILLARD, E, & GREEN, B (2012). Approximate groups III: the unitary case. Turkish Journal of Mathematics 36 (2): 199-215. https://doi.org/10.3906/mat-1006-399

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