中山大学学报自然科学版 ›› 2010, Vol. 49 ›› Issue (3): 1-4.

• 研究论文 •    下一篇

零和自由序列F (5) 的刻画

官欢欢,曾祥能,袁平之
  

  1. (中山大学数学与计算科学学院,广东 广州 510275)
  • 收稿日期:2009-05-15 修回日期:1900-01-01 出版日期:2010-05-25 发布日期:2010-05-25

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

GUAN Huanhuan, ZENG Xiangneng, YUAN Pingzhi
  

  1. 〗(School of Mathematics and Computational Science, Sun Yatsen University, Guangzhou 510275,China)
  • Received:2009-05-15 Revised:1900-01-01 Online:2010-05-25 Published:2010-05-25

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。

关键词: 零和自由, 平方自由, 序列

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.

Key words: zerosumfree, square free, sequence

中图分类号: