Iterated sumsets and Olson's generalization of the Erdős-Ginzburg-Ziv theorem

DOI10.1016/j.endm.2018.06.006zbMath1437.11028OpenAlexW2883862876MaRDI QIDQ1792055

David J. Grynkiewicz

Publication date: 11 October 2018

Full work available at URL: https://doi.org/10.1016/j.endm.2018.06.006

zbMATH Keywords

sumsetzero-sumKneser's theoremcomplete sequenceErdős-Ginzburg-Ziv theorempartition theoremsubsequence sumsubsum\(n\)-fold sumsetiterated sumsetKemperman structure theoremOlson

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Additive bases, including sumsets (11B13) Sequences (mod (m)) (11B50)

Cites Work

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• Representation of finite abelian group elements by subsequence sums
• On small sumsets in an abelian group
• An addition theorem for finite abelian groups
• Addition theorems for finite abelian groups
• Structural additive theory. Based on courses given at Karl-Franzens-Universität Graz, Austria, 2008--2012
• A Step Beyond Kemperman's Structure Theorem
• Two addition theorems

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