A Step Beyond Kemperman's Structure Theorem

DOI10.1112/S0025579300000966zbMath1213.11179arXiv0710.1041OpenAlexW2963602831MaRDI QIDQ3400767

David J. Grynkiewicz

Publication date: 5 February 2010

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.1041

zbMATH Keywords

abelian groupsumsetKemperman's structure theorem

Mathematics Subject Classification ID

Inverse problems of additive number theory, including sumsets (11P70) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (12)

Semicontinuity of structure for small sumsets in compact abelian groups ⋮ Unnamed Item ⋮ Zero-sum problems in finite Abelian groups: a survey ⋮ Iterated sumsets and subsequence sums ⋮ On extending Pollard's theorem for \(t\)-representable sums ⋮ An inverse theorem for an inequality of Kneser ⋮ Small-sum pairs for upper Banach density in countable abelian groups ⋮ An inverse theorem: When the measure of the sumset is the sum of the measures in a locally compact abelian group ⋮ Iterated sumsets and Olson's generalization of the Erdős-Ginzburg-Ziv theorem ⋮ Carries and the arithmetic progression structure of sets ⋮ On some subgroup chains related to Kneser's theorem ⋮ Rainbow-free 3-colorings in abelian groups

Cites Work

• Unnamed Item
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• Summenmengen in lokalkompakten abelschen Gruppen
• On the critical pair theory in abelian groups: beyond Chowla's theorem
• On small sumsets in an abelian group
• Vosperian and superconnected abelian Cayley digraphs
• Subsets with small sums in abelian groups. I: The Vosper property
• Rectification principles in additive number theory
• Quasi-periodic decompositions and the Kemperman structure theorem
• Subsets with a small sum. II: The critical pair problem
• An inverse theorem for the restricted set addition in Abelian groups.
• Connectivity of addition Cayley graphs
• An extension of the Erdős-Ginzburg-Ziv theorem to hypergraphs
• Abschätzung der asymptotischen Dichte von Summenmengen
• The Critical Pairs of Subsets of a Group of Prime Order
• CRITICAL PAIRS IN ABELIAN GROUPS AND KEMPERMAN'S STRUCTURE THEOREM
• A Generalisation of the Theorem of Cauchy and Davenport
• A STEP BEYOND KNESER'S THEOREM FOR ABELIAN FINITE GROUPS
• On the critical pair theory in Z/pZ

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