A note on approximate subgroups of GL_n(C) and uniformly nonamenable groups

Abstract

The aim of this brief note is to offer another proof of a theorem of Hrushovski that approximate subgroups of GL_n(C) are almost nilpotent. This approach generalizes to uniformly non amenable groups.

5 pages

References in corpus (3)

• A Strong Tits Alternative
• Approximate subgroups of linear groups
• A probabilistic technique for finding almost-periods of convolutions