On some subgroup chains related to Kneser's theorem

DOI10.5802/jtnb.618zbMath1197.11016arXiv0704.0382OpenAlexW2964081251MaRDI QIDQ1011974

Yahya Ould Hamidoune, Gilles Zémor, Oriol Serra

Publication date: 14 April 2009

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.0382

zbMATH Keywords

additive number theoryKneser's theoremnon-abelian groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Additive bases, including sumsets (11B13)

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Yahya Ould Hamidoune's mathematical journey: a critical review of his work ⋮ A structure theorem for small sumsets in nonabelian groups

Cites Work

• Summenmengen in lokalkompakten abelschen Gruppen
• A variant of the isoperimetric method of Hamidoune, applied to Kneser's theorem
• On the symmetric difference of two sets in a group
• On small sumsets in an abelian group
• Abschätzung der asymptotischen Dichte von Summenmengen
• A Step Beyond Kemperman's Structure Theorem
• Proving Kneser's Theorem for Finite Groups by Another e-Transform
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