A note on the Brown–Erdős–Sós conjecture in groups

DOI10.1017/S0963548319000427zbMath1466.05212arXiv1902.07693OpenAlexW3004849987WikidataQ123155967 ScholiaQ123155967MaRDI QIDQ4993109

Jason Long

Publication date: 15 June 2021

Published in: Combinatorics, Probability and Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.07693

zbMATH Keywords

Hales-Jewett theoremSzemerédi's theoremgroup multiplication table

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Hypergraphs (05C65) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Ramsey theory (05D10)

Related Items (2)

A new bound for the Brown-Erdős-Sós problem ⋮ A Ramsey variant of the Brown–Erdős–Sós conjecture

Cites Work

• An extension of the Ruzsa-Szemerédi theorem
• A density version of the Hales-Jewett theorem for \(k=3\)
• An ergodic Szemerédi theorem for commuting transformations
• The Brown-Erdős-Sós conjecture in finite abelian groups
• A Simple Proof of the Density Hales–Jewett Theorem
• The (7, 4)-Conjecture in Finite Groups
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