Please use this identifier to cite or link to this item: http://www.repositorio.ufop.br/jspui/handle/123456789/17271
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: <https://www.sciencedirect.com/science/article/pii/S0097316523000195>. 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.
URI: http://www.repositorio.ufop.br/jspui/handle/123456789/17271
metadata.dc.identifier.uri2: https://www.sciencedirect.com/science/article/pii/S0097316523000195
metadata.dc.identifier.doi: https://doi.org/10.1016/j.jcta.2023.105751
ISSN: 1096-089
Appears in Collections:DEMAT - Artigos publicados em periódicos

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