Exhaustion numbers of subsets of Abelian groups

被引：0

作者：

Chin, AYM ^{[1
]}

机构：

[1] Univ Malaya, Fac Sci, Inst Math Sci, Kuala Lumpur 50603, Malaysia

来源：

ARS COMBINATORIA | 2003年 / 68卷

关键词：

exhaustion number; Abelian group; arithmetic progression;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite group written additively and S a non-empty subset of G. We say that S is e-exhaustive if G = S+...+S (e times). The minimal integer e > 0, if it exists, such that S is e-exhaustive, is called the exhaustion number of the set S and is denoted by e(S). In this paper we completely determine the exhaustion numbers of subsets of Abelian groups which are in arithmetic progression. The exhaustion numbers of various subsets of Abelian groups which are not in arithmetic progression are also determined.

引用

页码：65 / 76

页数：12

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