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arxiv: 0906.3598 · v1 · submitted 2009-06-19 · 🧮 math.CO · math.GR

Approximate groups, I: the torsion-free nilpotent case

classification 🧮 math.CO math.GR
keywords groupsnilpotenttorsion-freeaddressappearedapproximateattentionbriefly
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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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