Sum-free sets in abelian groups

Ben Green, Imre Z. Ruzsa

Type: Article

Publication Date: 2005-12-01

Citations: 137

DOI: https://doi.org/10.1007/bf02785363

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Locations

Israel Journal of Mathematics - View
arXiv (Cornell University) - View - PDF

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Works That Cite This (133)

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+	On a conjecture of Street and Whitehead on locally maximal product-free sets	2015	Chimere S. Anabanti Sarah B. Hart
+	Dioid partitions of groups	2018	Ishay Haviv Dan Lévy
+ PDF Chat	On those multiplicative subgroups of $${\mathbb F}_{2^n}^*$$ which are Sidon sets and/or sum-free sets	2020	Claude Carlet Sihem Mesnager
+	The number of sumsets in Abelian group	2020	А. А. Сапоженко V. G. Sargsyan
+ PDF Chat	Sum-free sets in groups: a survey	2017	Terence Tao Van Vu
+ PDF Chat	Open problems in additive combinatorics	2007	Ernest S. Croot Vsevolod F. Lev
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+	A characterisation of elementary abelian 3-groups	2016	Chimere S. Anabanti
+ PDF Chat	Sur la complexité de familles d’ensembles pseudo-aléatoires	2014	R. Balasubramanian Cécile Dartyge Élie Mosaki
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Works Cited by This (19)

Action	Title	Year	Authors
+ PDF Chat	Combinatorics: Room Squares, Sum-Free Sets, Hadamard Matrices	1972	W. D. Wallis Jennifer Wallis Anne Street
+	A Szemeredi-type regularity lemma in abelian groups	2003	Ben Green
+	Cameron-Erdős Modulo a Prime	2002	Vsevolod F. Lev Tomasz Schoen
+	A Generalisation of the Theorem of Cauchy and Davenport	1974	J. M. Pollard
+ PDF Chat	Maximal sum-free sets in finite abelian groups	1970	A. H. Rhemtulla Anne Street
+	On the Number of Sum-Free Sets	1990	Neil J. Calkin
+	Counting sumsets and sum-free sets modulo a prime	2004	Ben Green Imre Z. Ruzsa
+	Product-Free Subsets of Groups	1998	Kiran S. Kedlaya
+	Absch�tzung der asymptotischen Dichte von Summenmengen	1953	Martin Kneser
+	A Szemeredi-type regularity lemma in abelian groups, with applications	2003	Ben Green