Extremal product-one free sequences over Cn s C2.

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MetadadosDescriçãoIdioma
Autor(es): dc.creatorBrochero Martinez, Fabio Enrique-
Autor(es): dc.creatorRibas, Sávio-
Data de aceite: dc.date.accessioned2025-08-21T15:40:02Z-
Data de disponibilização: dc.date.available2025-08-21T15:40:02Z-
Data de envio: dc.date.issued2023-08-18-
Data de envio: dc.date.issued2023-08-18-
Data de envio: dc.date.issued2021-
Fonte completa do material: dc.identifierhttp://www.repositorio.ufop.br/jspui/handle/123456789/17269-
Fonte completa do material: dc.identifierhttps://www.sciencedirect.com/science/article/pii/S0012365X22002680-
Fonte completa do material: dc.identifierhttps://doi.org/10.1016/j.disc.2022.113062-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/1021079-
Descrição: dc.descriptionLet G be a finite group multiplicatively written. The small Davenport constant of G is the maximum positive integer d(G) such that there exists a product-one free sequence S of length d(G). Let s2 ≡ 1 (mod n), where s ≡ ±1 (mod n). It has been proven that d(Cn s C2) = n (see [13, Lemma 6]). In this paper, we determine all sequences over Cn s C2 of length n which are product-one free. It completes the classification of all product-one free sequences over every group of the form Cn s C2, including the quasidihedral groups and the modular maximal-cyclic groups.-
Formato: dc.formatapplication/pdf-
Idioma: dc.languageen-
Direitos: dc.rightsrestrito-
Palavras-chave: dc.subjectZero-sum problem-
Palavras-chave: dc.subjectSmall davenport constant-
Palavras-chave: dc.subjectInverse zero-sum problem-
Palavras-chave: dc.subjectSemidirect product-
Título: dc.titleExtremal product-one free sequences over Cn s C2.-
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