Some remarks on products of sets in the Heisenberg group and in the affine group

被引：3

作者：

Shkredov, Ilya D. ^{[1
,2
,3
]}

机构：

[1] Steklov Math Inst, Ul Gubkina 8, Moscow 119991, Russia

[2] IITP RAS, Bolshoy Karetny Per 19, Moscow 127994, Russia

[3] MIPT, Inst Skii Per 9, Dolgoprudnyi 141701, Russia

来源：

FORUM MATHEMATICUM | 2020年 / 32卷 / 01期

基金：

俄罗斯科学基金会;

关键词：

Heisenberg group; affine group; sum-product; growth; FINITE; THEOREM;

D O I：

10.1515/forum-2019-0181

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain some new results about products of large and small sets in the Heisenberg group as well as in the affine group over the prime field. We apply these growth results to Freiman's isomorphism in nonabelian groups.

引用

页码：189 / 199

页数：11

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