On linear versions of some addition theorems

DOI10.1080/03081080802018083zbMath1263.11015arXiv0802.3523OpenAlexW2023339268MaRDI QIDQ3648444

Cédric Lecouvey, Shalom Eliahou

Publication date: 26 November 2009

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.3523

zbMATH Keywords

additive number theoryfield extensionKneser theoremproduct setKemperman transformsOlson theorem

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Linear transformations, semilinear transformations (15A04) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (8)

Additive combinatorics methods in associative algebras ⋮ Plünnecke and Kneser type theorems for dimension estimates ⋮ Classifications and constructions of minimum size linear sets on the projective line ⋮ Matching subspaces in a field extension. ⋮ An analogue of Vosper's theorem for extension fields ⋮ Revisiting Kneser's theorem for field extensions ⋮ On the product of vector spaces in a commutative field extension ⋮ Towards a function field version of Freiman's theorem

Cites Work

• On the sum of two sets in a group
• A generalization of an addition theorem of Kneser.
• Abschätzung der asymptotischen Dichte von Summenmengen
• Ein Satz über abelsche Gruppen mit Anwendungen auf die Geometrie der Zahlen

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