The large Davenport constant. I: Groups with a cyclic, index 2 subgroup.

DOI10.1016/j.jpaa.2012.09.004zbMath1276.20027arXiv1211.2612OpenAlexW2027326150MaRDI QIDQ2376542

Alfred Geroldinger, David J. Grynkiewicz

Publication date: 24 June 2013

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.2612

zbMATH Keywords

finite groupszero-sum sequencessequences of elementscombinatorial constants for groupslarge Davenport constantsmall Davenport constantunit-product sequences

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Other combinatorial number theory (11B75)

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Cites Work

• The large Davenport constant. II: General upper bounds.
• The Erdős-Ginzburg-Ziv theorem for finite solvable groups.
• Zero-sum problems in finite Abelian groups: a survey
• Degree bounds -- an invitation to postmodern invariant theory
• Groups of prime power order. Vol. 1.
• A generalization of Kneser's addition theorem
• Non-unique factorizations of algebraic integers
• Zero-sum problems -- a survey
• Structural additive theory. Based on courses given at Karl-Franzens-Universität Graz, Austria, 2008--2012
• The Erdős-Ginzburg-Ziv theorem for dihedral groups.
• Improving the Erdős-Ginzburg-Ziv theorem for some non-Abelian groups.
• Davenport constant for semigroups.
• Erdős-Ginzburg-Ziv theorem for dihedral groups of large prime index.
• Factorizations of Algebraic Integers, Block Monoids, and Additive Number Theory
• Finite abelian groups and factorization problems
• On some developments of the Erdős–Ginzburg–Ziv Theorem II
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