Sum-free sets in abelian groups

Ben Green, Imre Z. Ruzsa

Type: Preprint

Publication Date: 2003-01-01

Citations: 3

DOI: https://doi.org/10.48550/arxiv.math/0307142

View Publication

Locations

arXiv (Cornell University) - View
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Sum-free sets in abelian groups	2005	Ben Green Imre Z. Ruzsa
+	Sums of sets of abelian group elements	2019	Weidong Gao Mei Ling Huang Wanzhen Hui Yuanlin Li Chao Liu Jiangtao Peng
+	On sum-free subsets of abelian groups	2022	Renato Cordeiro de Amorim
+ PDF Chat	On Sum-Free Subsets of Abelian Groups	2023	Renato Cordeiro de Amorim
+ PDF Chat	Sum-free sets in groups: a survey	2017	Terence Tao Van Vu
+	Sumfree sets in groups: a survey	2016	Terence Tao Van Vu
+ PDF Chat	On Maximal Sum-Free Sets in Abelian Groups	2022	Nathanaël Hassler Andrew Treglown
+	On maximal sum-free sets in abelian groups	2021	Nathanaël Hassler Andrew Treglown
+	Groups with few maximal sum-free sets	2018	Hong Liu Maryam Sharifzadeh
+	Groups with few maximal sum-free sets	2020	Hong Liu Maryam Sharifzadeh
+ PDF Chat	Counting sum-free sets in abelian groups	2013	Noga Alon József Balogh Robert Morris Wojciech Samotij
+	Counting sum-free sets in Abelian groups	2012	Noga Alon József Balogh Robert Morris Wojciech Samotij
+	Counting sum-free sets in Abelian groups	2012	Noga Alon József Balogh Robert Morris Wojciech Samotij
+	The largest $(k, \ell)$-sum-free sets in compact abelian groups	2019	Noah Kravitz
+	The largest $(k, \ell)$-sum-free sets in compact abelian groups	2019	Noah Kravitz
+	The Number of k-Sumsets in an Abelian Group	2018	A. A. Sapozhenko V. G. Sargsyan
+	Sum-free sets in abelian groups	2001	Vsevolod F. Lev Tomasz Łuczak Tomasz Schoen
+	On the maximum size of a $(k,l)$-sum-free subset of an abelian group	2008	Béla Bajnok
+ PDF Chat	On the cardinality of sumsets in torsion-free groups	2012	Károly J. Böröczky Péter P. Pálfy Oriol Serra
+	The Maximum Size of $(k,l)$-Sum-Free Sets in Cyclic Groups	2018	Béla Bajnok Ryan Matzke

Works That Cite This (3)

Action	Title	Year	Authors
+	Product decompositions of quasirandom groups and a Jordan type theorem	2007	Nikolay Nikolov László Pyber
+ PDF Chat	Product decompositions of quasirandom groups and a Jordan type theorem	2011	Nikolay Nikolov László Pyber
+	A new bound for $A(A + A)$ for large sets	2020	Aliaksei Semchankau

Works Cited by This (6)

Action	Title	Year	Authors
+ PDF Chat	Combinatorics: Room Squares, Sum-Free Sets, Hadamard Matrices	1972	W. D. Wallis Jennifer Wallis Anne Street
+	A Generalisation of the Theorem of Cauchy and Davenport	1974	J. M. Pollard
+	On the Number of Sum-Free Sets	1990	Neil J. Calkin
+	Product-Free Subsets of Groups	1998	Kiran S. Kedlaya
+	The Critical Pairs of Subsets of a Group of Prime Order	1956	A. G. Vosper
+	Sum-free sets in abelian groups	2001	Vsevolod F. Lev Tomasz Łuczak Tomasz Schoen