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arXiv 0906.3598math.COmath.GR
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近似群I:无挠无挠的幂零情形

Approximate groups, I: the torsion-free nilpotent case

Emmanuel Breuillard, Ben Green

摘要:

我们描述了无挠的的幂零群的"K-近似子群"的结构,特别注意李群。另外三个作品,由费舍尔-卡茨-彭,桑德斯和陶,出现了独立解决相关问题。我们简要地评论这些文件之间的一些连接。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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