Geodesic
The Davenport constant of the group \(C_2^{r-1} \oplus C_{2k}\)
Kevin Zhao1
1South China Normal University
The electronic journal of combinatorics, Tome 30 (2023) no. 1
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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 $\mathsf{D}(C_2^{4} \oplus C_{2k})$.
DOI : 10.37236/11194
Classification : 11B75, 20K01, 20D60
Mots-clés : finite abelian additive group, sequence, subsequence, Davenport constant

Kevin Zhao  1

1 South China Normal University 
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     title = {The {Davenport} constant of the group {\(C_2^{r-1}} \oplus {C_{2k}\)}},
     journal = {The electronic journal of combinatorics},
     year = {2023},
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Kevin Zhao. The Davenport constant of the group \(C_2^{r-1} \oplus C_{2k}\). The electronic journal of combinatorics, Tome 30 (2023) no. 1. doi: 10.37236/11194

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