Progression-free sets in finite abelian groups.
type: Item
instance of: scholarly article
title: Progression-free sets in finite abelian groups.
zbMATH Open document ID: 1043.11022
DOI: 10.1016/S0022-314X(03)00148-3
published in: Journal of Number Theory
publication date: 2004-01-26T00:00:00Z
review text: The author investigates the maximal order of a subset of an abelian group containing no arithmetic progression of size 3 and generalizes results due to N. Alon and R. Meshulam.
Mathematics Subject Classification ID: 11B83
Mathematics Subject Classification ID: 20K01
Mathematics Subject Classification ID: 20D60
zbMATH DE Number: 2032690
zbMATH Keywords: Roth theorem
author: Vsevolod F. Lev
reviewed by: Yahya Ould Hamidoune
MaRDI profile type: Publication
cites work: Subset sums
cites work: On triples in arithmetic progression
cites work: A density version of a geometric Ramsey theorem
cites work: On subsets of abelian groups with no 3-term arithmetic progression
cites work: Integer Sets Containing No Arithmetic Progressions
cites work: On subsets of finite Abelian groups with no 3-term arithmetic progressions
cites work: On Certain Sets of Integers
cites work: Integer sets containing no arithmetic progressions
description: scientific article; zbMATH DE number 2032690