Minimal sumsets in infinite abelian groups

被引：13

作者：

Eliahou, S

Kervaire, M

机构：

[1] Univ Littoral Cote Opale, LMPA Joseph Liouville, Dept Math, F-62228 Calais, France

[2] Univ Geneva, Dept Math, CH-1211 Geneva, Switzerland

来源：

JOURNAL OF ALGEBRA | 2005年 / 287卷 / 02期

关键词：

D O I：

10.1016/j.jalgebra.2005.02.014

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a closed formula for the minimal sumset size function μ(G)(r,s)=min{| A+B|: A,B⊂ G, | A|=r, | B|=s} of an arbitrary (possibly infinite) abelian group G. © 2005 Elsevier Inc. All rights reserved.

引用

页码：449 / 457

页数：9

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