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Title: On the direct and inverse zero-sum problems over Cn ⋊s C2.
Authors: Avelar, Danilo Vilela
Brochero Martinez, Fabio Enrique
Ribas, Sávio
Issue Date: 2022
Citation: AVELAR, D. V.; BROCHERO MARTINEZ, F. E.; RIBAS, S. On the direct and inverse zero-sum problems over Cn ⋊s C2. Journal of Combinatorial Theory Series A, v. 197, artigo 105751, 2023. Disponível em: <>. Acesso em: 06 jul. 2023.
Abstract: Let Cn be the cyclic group of order n. In this paper, we provide the exact values of some zero-sum constants over Cn ⋊s C2 where s 6≡ ±1 (mod n), namely η-constant, Gao constant, and Erdős- Ginzburg-Ziv constant (the latter for all but a “small” family of cases). As a consequence, we prove the Gao’s and Zhuang-Gao’s Conjectures for groups of this form. We also solve the associated inverse problems by characterizing the structure of product-one free sequences over Cn ⋊s C2 of maximum length.
ISSN: 1096-089
Appears in Collections:DEMAT - Artigos publicados em periódicos

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