A new upper bound for the cross number of finite Abelian groups.

DOI10.1007/s11856-009-0072-3zbMath1206.20059arXiv0712.0331OpenAlexW3101875456MaRDI QIDQ731367

Benjamin Girard

Publication date: 2 October 2009

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.0331

zbMATH Keywords

finite Abelian groupsDavenport constantlittle cross numberszero-sumfree sequences

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Other combinatorial number theory (11B75) Finite abelian groups (20K01) Inverse problems of additive number theory, including sumsets (11P70)

Related Items

Cross number invariants of finite Abelian groups., On tiny zero-sum sequences over finite abelian groups, On the Davenport constant and on the structure of extremal zero-sum free sequences, On a combinatorial problem of Erdős, Kleitman and Lemke, Products of two atoms in Krull monoids and arithmetical characterizations of class groups., The cross number of minimal zero-sum sequences in finite abelian groups., On a conjecture concerning the maximal cross number of unique factorization indexed sequences, Arithmetical characterization of class groups of the form \(\mathbb Z/n\mathbb Z\oplus\mathbb Z/n\mathbb Z\) via the system of sets of lengths., Remarks on the plus–minus weighted Davenport constant

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