Product set estimates for non-commutative groups

被引：115

作者：

Tao, Terence ^{[1
]}

机构：

[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA

来源：

COMBINATORICA | 2008年 / 28卷 / 05期

关键词：

D O I：

10.1007/s00493-008-2271-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We develop the Plunnecke-Ruzsa and Balog-Szemeredi-Gowers theory of sum set estimates in the non-commutative setting, with discrete, continuous, and metric entropy formulations of these estimates. We also develop a Freiman-type inverse theorem for a special class of 2-step nilpotent groups, namely the Heisenberg groups with no 2-torsion in their centre.

引用

页码：547 / 594

页数：48

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