群$C_2^{r-1} \ 0 + C_{2k}$的Davenport常数

IF 0.7 4区数学 Q2 MATHEMATICS

Electronic Journal of Combinatorics Pub Date : 2023-03-10 DOI:10.37236/11194

K. Zhao

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引用次数: 0

摘要

设$G$是一个有限阿贝尔群。达文波特常数$\mathsf{D}(G)$是最小零和序列在$G$上的最大长度。对于形式为$C_2^{r-1} \oplus C_{2k}$的组，达文波特常数为$r\leq 5$。本文给出了$k\geq 149$的精确值$\mathsf{D}(C_2^{5} \oplus C_{2k})$。同样值得指出的是，我们的结果可以暗示$\mathsf{D}(C_2^{4} \oplus C_{2k})$的精确值。

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On Davenport Constant of the Group $C_2^{r-1} \oplus C_{2k}$

Let $G$ be a finite abelian group. The Davenport constant $\mathsf{D}(G)$ is the maximal length of minimal zero-sum sequences over $G$. For groups of the form $C_2^{r-1} \oplus C_{2k}$ the Davenport constant is known for $r\leq 5$. In this paper, we get the precise value of $\mathsf{D}(C_2^{5} \oplus C_{2k})$ for $k\geq 149$. It is also worth pointing out that our result can imply the precise value of $\mathsf{D}(C_2^{4} \oplus C_{2k})$.

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来源期刊

Electronic Journal of Combinatorics 数学-数学

CiteScore

1.30

自引率

14.30%

发文量

212

审稿时长

3-6 weeks

期刊介绍： The Electronic Journal of Combinatorics (E-JC) is a fully-refereed electronic journal with very high standards, publishing papers of substantial content and interest in all branches of discrete mathematics, including combinatorics, graph theory, and algorithms for combinatorial problems.