| 官欢欢,袁平之.$C_2 \oplus C_{2n}$上零和自由序列的结构[J].数学年刊A辑,2014,35(2):211~224 |
| $C_2 \oplus C_{2n}$上零和自由序列的结构 |
| The Structure of Zero-Sum Free Sequences over$C_2 \oplus C_{2n}$ |
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| DOI： |
| 中文关键词: 序列, 零和自由, Davenport常数 |
| 英文关键词:Sequence, Zero-sum free, Davenport's constant |
| 基金项目:国家自然科学基金 (No.11326053)和贵州省科学技术基金(No.[2013]2087) |
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| 中文摘要: |
| 已知在任意有限循环群中, 一个零和自由序列的长度超过其Davenport常数的一半时, 该序列是光滑的.
本文给出了一类非循环阿贝尔群$C_2 \oplus C_{2n}$上
长度不小于$n+3$的零和自由序列的结构及性质. |
| 英文摘要: |
| It is well-known that for any finite cyclic group, a zero-sum free sequence, whose length is more than half of its
Davenport's constant, is smooth. The authors study the structure and properties of zero-sum free
sequences of length at least $n+3$ over a noncyclic Abelian group $C_2\oplus C_{2n}$. |
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