Approximate groups, I: the torsion-free nilpotent case

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.

23 pages

References in corpus (1)

• A quantitative version of the idempotent theorem in harmonic analysis

Cited by in corpus (4)

• On the cardinality of sumsets in torsion-free groups
• Approximate groups, II: the solvable linear case
• A probabilistic technique for finding almost-periods of convolutions
• Structure Theory of Set Addition III. Results and Problems