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$C_2 \oplus C_{2n}$
  
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)
Author NameAffiliationE-mail
GUAN Huanhuan School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025, China. guan1110h@163.com 
YUAN Pingzhi School of Mathematics, South China Normal University, Guangzhou 510631, China. yuanpz@scnu.edu.cn 
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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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