English

Approximate groups, I: the torsion-free nilpotent case

Combinatorics 2009-06-22 v1 Group Theory

Abstract

We describe the structure of ``K-approximate subgroups'' of torsion-free nilpotent groups, paying particular attention to Lie groups. Three other works, by Fisher-Katz-Peng, Sanders and Tao, have appeared which independently address related issues. We comment briefly on some of the connections between these papers.

Keywords

Cite

@article{arxiv.0906.3598,
  title  = {Approximate groups, I: the torsion-free nilpotent case},
  author = {Emmanuel Breuillard and Ben Green},
  journal= {arXiv preprint arXiv:0906.3598},
  year   = {2009}
}

Comments

23 pages

R2 v1 2026-06-21T13:15:24.944Z