Approximate groups, I: the torsion-free nilpotent case

Mathematics – Combinatorics

Scientific paper

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23 pages

Scientific paper

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.

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