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Title: Extremal product-one free sequences over Cn s C2.
Authors: Brochero Martinez, Fabio Enrique
Ribas, Sávio
Keywords: Zero-sum problem
Small davenport constant
Inverse zero-sum problem
Semidirect product
Issue Date: 2022
Citation: BOCHERO MARTINEZ, F. E.; RIBAS, S. Extremal product-one free sequences over Cn s C2. Discrete Mathematics, v. 345, 2022. Disponível em: <>. Acesso em: 06 jul. 2023.
Abstract: Let 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.
ISSN: 0012-365X
Appears in Collections:DEMAT - Artigos publicados em periódicos

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