Quasi-periodic decompositions and the Kemperman structure theorem

DOI10.1016/j.ejc.2004.06.011zbMath1116.11081OpenAlexW2040646240MaRDI QIDQ1775023

David J. Grynkiewicz

Publication date: 4 May 2005

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2004.06.011

zbMATH Keywords

addition theoremscritical pair theory

Mathematics Subject Classification ID

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

Related Items (14)

Semicontinuity of structure for small sumsets in compact abelian groups ⋮ Representing Sequence Subsums as Sumsets of Near Equal Sized Sets ⋮ Unnamed Item ⋮ Zero-sum problems in finite Abelian groups: a survey ⋮ The Connectivity of addition Cayley graphs ⋮ An inverse theorem for an inequality of Kneser ⋮ Small-sum pairs for upper Banach density in countable abelian groups ⋮ Arithmetic-progression-weighted subsequence sums ⋮ An inverse theorem: When the measure of the sumset is the sum of the measures in a locally compact abelian group ⋮ Representation of finite abelian group elements by subsequence sums ⋮ Small-sum pairs in abelian groups ⋮ Connectivity of addition Cayley graphs ⋮ A Step Beyond Kemperman's Structure Theorem ⋮ An extension of the Erdős-Ginzburg-Ziv theorem to hypergraphs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Summenmengen in lokalkompakten abelschen Gruppen
• On small sumsets in an abelian group
• Subsets with small sums in abelian groups. I: The Vosper property
• On four colored sets with nondecreasing diameter and the Erdős-Ginzburg-Ziv theorem
• A generalization of an addition theorem of Kneser.
• A sum-product estimate in finite fields, and applications
• Zero-sum problems -- a survey
• Subsets with a small sum. II: The critical pair problem
• An extension of the Erdős-Ginzburg-Ziv theorem to hypergraphs
• Abschätzung der asymptotischen Dichte von Summenmengen
• Ein Satz über abelsche Gruppen mit Anwendungen auf die Geometrie der Zahlen
• On some developments of the Erdős–Ginzburg–Ziv Theorem II
• Some results in additive number theory I: The critical pair theory
• On the Addition of Residue Classes
• Additive Number Theory and the Ring of Quantum Integers
• An addition theorem of Abelian groups for sets of elements

This page was built for publication: Quasi-periodic decompositions and the Kemperman structure theorem