Weighted zero-sum problems over \(C_3^r\)

• Date: 2018
• Main Authors: Godinho, Hemar, Lemos, Abílio, Marques, Diego
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: Weighted zero-sum; abelian groups; 20D60; 20K01
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/743
• Journal Title: Algebra and Discrete Mathematics

Let \(C_n\) be the cyclic group of order \(n\) and set \(s_{A}(C_n^r)\) as the smallest integer \(\ell\) such that every sequence \(\mathcal{S}\) in \(C_n^r\) of length at least \(\ell\) has an \(A\)-zero-sum subsequence of length equal to \(\exp(C_n^r)\), for \(A=\{-1,1\}\). In this paper, among ot...