Avelar, Danilo VilelaBrochero Martinez, Fabio EnriqueRibas, Sávio2023-08-182023-08-182022AVELAR, 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: <https://www.sciencedirect.com/science/article/pii/S0097316523000195>. Acesso em: 06 jul. 2023.1096-089http://www.repositorio.ufop.br/jspui/handle/123456789/17271Let 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.en-USrestritoArtigo publicado em periodicohttps://www.sciencedirect.com/science/article/pii/S0097316523000195https://doi.org/10.1016/j.jcta.2023.105751