Description of the Invariant F(5) of ZeroSumFree Sequence

GUAN Huanhuan; ZENG Xiangneng; YUAN Pingzhi

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Description of the Invariant F(5) of ZeroSumFree Sequence

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- Description of the Invariant F(5) of ZeroSumFree Sequence
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 49, Issue 3, Pages: 1-4(2010)
- 作者机构：
  
  中山大学数学与计算科学学院,广东,广州,510275
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2010，
  
  Published Online：25 May 2010，
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GUAN Huanhuan, ZENG Xiangneng, YUAN Pingzhi. Description of the Invariant F(5) of ZeroSumFree Sequence. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 49(3):1-4(2010)
DOI：

GUAN Huanhuan, ZENG Xiangneng, YUAN Pingzhi. Description of the Invariant F(5) of ZeroSumFree Sequence. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 49(3):1-4(2010) DOI：

摘要

设G是有限阿贝尔群，S是元素在G中的平方自由，零和自由序列。f(S)表示G中满足如下条件的元素的个数:可以表示成S的一个非空子序列和的元素的个数。已知当|S|=5时，有f(S)≥13。刻画了当f(S)=13 时S的所有情形。

Abstract

Let G be a finite abelian group

and let S be a squarefree

zerosumfree sequence of elements in G. Let f(S) denote the number of elements in G which can be expressed as the sum over a nonempty subsequence of S. When the length of Sequals to 5

the result f(S)≥13 is obtained. All cases of S whenf(S)=13 are described.

关键词

零和自由平方自由序列

Keywords

zerosumfreesquare freesequence

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Shi Suhua ) Wen Jun ) Zhu Lingfeng ) \ Zhu Zhongbao ) Huang Lingying ) ( )Schoool of Life Sciences

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