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

Electronic Journal of Combinatorics

article

Kevin Zhao¹ 

[1] South China Normal University

DOI  :  10.37236/11194

学科分类：统计和概率

来源: Electronic Journal Of Combinatorics

【 摘 要 】

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 $\mathsf{D}(C_2^{4} \oplus C_{2k})$.

【 授权许可】

CC BY