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

Group Theory 2011-01-14 v1

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.

Keywords

Cite

@article{arxiv.1101.2552,
  title  = {A note on approximate subgroups of GL_n(C) and uniformly nonamenable groups},
  author = {Emmanuel Breuillard and Ben Green and Terence Tao},
  journal= {arXiv preprint arXiv:1101.2552},
  year   = {2011}
}

Comments

5 pages