A note on Bass’ conjecture.

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MetadadosDescriçãoIdioma
Autor(es): dc.creatorAvelar, Danilo Vilela-
Autor(es): dc.creatorBrochero Martinez, Fabio Enrique-
Autor(es): dc.creatorRibas, Sávio-
Data de aceite: dc.date.accessioned2025-08-21T15:13:28Z-
Data de disponibilização: dc.date.available2025-08-21T15:13:28Z-
Data de envio: dc.date.issued2023-08-18-
Data de envio: dc.date.issued2023-08-18-
Data de envio: dc.date.issued2022-
Fonte completa do material: dc.identifierhttp://www.repositorio.ufop.br/jspui/handle/123456789/17270-
Fonte completa do material: dc.identifierhttps://www.sciencedirect.com/science/article/pii/S0022314X23000616-
Fonte completa do material: dc.identifierhttps://doi.org/10.1016/j.jnt.2023.02.014-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/1006817-
Descrição: dc.descriptionFor a finite group G, we denote by d(G) and by E(G), respectively, the small Davenport constant and the Gao constant of G. Let Cn be the cyclic group of order n and let Gm,n,s = Cn s Cm be a metacyclic group. In [2, Conjecture 17], Bass conjectured that d(Gm,n,s) = m + n − 2 and E(Gm,n,s) = mn + m + n − 2 provided ordn(s) = m. In this paper, we show that the assumption ordn(s) = m is essential and cannot be removed. Moreover, if we suppose that Bass’ conjecture holds for Gm,n,s and the mn-product-one free sequences of maximal length are well behaved, then Bass conjecture also holds for G2m,2n,r, where r2 ≡ s (mod n).-
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.subjectGao constant-
Palavras-chave: dc.subjectMetacyclic groups-
Título: dc.titleA note on Bass’ conjecture.-
Aparece nas coleções:Repositório Institucional - UFOP

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