ON SHORT ZERO-SUM SUBSEQUENCES

摘要：

Let G be a finite abelian group of exponent m. By s(G) we denote the smallest integer t such that, every sequence of t elements in G contains a zero-sum subsequence of length m. Among other results, we prove that, let p be a prime, and let H=C pe1⊕...⊕ Cpel be a p-group, suppose that 1+Σl i=1 (pei-1)=pk for some positive integer k, then s(H⊕Cpk)=4pk-3,which implies Kemnitzconjecture when l=1.

关键词： Zero-sum sequence Finite abelian p-group

作者: JUJUAN ZHUANG ZHIPING WANG

作者单位: Department of Mathematics, Dalian Maritime University, Dalian, 116026, China Department of mathematics, Dalian Maritime University, Dalian, China, 116026

会议类型: 国际会议

会议名称: The Second International Conference on Information & Systems Sciences(ICISS2008)(第二届信息与系统科学国际会议)

会议地点: 大连

会议语种:英文

页码: 461-465

在线出版日期: 2008-12-18（万方平台首次上网日期，不代表论文的发表时间）