ON THE CRITICAL NUMBER OF FINITE GROUPS OF ORDER pq

被引：4

作者：

Wang, Q. H. ^{[1
]}

Zhuang, J. J. ^{[2
]}

机构：

[1] Tianjin Univ Technol, Coll Sci, Tianjin 300384, Peoples R China

[2] Dalian Maritime Univ, Dept Math, Dalian 116026, Peoples R China

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2012年 / 8卷 / 05期

基金：

美国国家科学基金会;

关键词：

Critical number; subset; additive basis; finite groups; ABELIAN-GROUPS; SUMS;

D O I：

10.1142/S1793042112500741

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite group and S be a subset of G\{0}. We call S an additive basis of G if every element of G can be expressed as a sum over a non-empty subset in some order. Let cr(G) be the smallest integer t such that every subset of G\{0} of cardinality t forms an additive basis of G. In this paper, we determine cr(G) for all groups G of order pq, where p, q are primes.

引用

页码：1271 / 1279

页数：9

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