Some results on minimal sumset sizes in finite non-abelian groups

Shalom Eliahou, Michel Kervaire

Type: Article

Publication Date: 2006-11-10

Citations: 10

DOI: https://doi.org/10.1016/j.jnt.2006.09.002

View Publication

Locations

Journal of Number Theory - View

Similar Works

Action	Title	Year	Authors
+	Minimal sumsets in infinite abelian groups	2005	Shalom Eliahou Michel Kervaire
+	Optimally small sumsets in finite abelian groups	2003	Shalom Eliahou Michel Kervaire Alain Plagne
+	Minimal sumsets in finite solvable groups	2009	Shalom Eliahou Michel Kervaire
+	BOUNDS ON THE MINIMAL SUMSET SIZE FUNCTION IN GROUPS	2007	Shalom Eliahou Michel Kervaire
+	Open problems about sumsets in finite abelian groups: minimum sizes and critical numbers	2015	Béla Bajnok
+ PDF Chat	Open Problems About Sumsets in Finite Abelian Groups: Minimum Sizes and Critical Numbers	2017	Béla Bajnok
+	Optimally small sumsets in groups IV. Counting multiplicities and the λ_G functions	2012	Alain Plagne
+	Large restricted sumsets in general abelian group	2013	Yahya Ould Hamidoune Susana C. López Alain Plagne
+	Sets with few differences in abelian groups	2015	Mitchell Lee
+	Sets with few differences in abelian groups	2015	Mitchell Lee
+	On maximal sum-free sets in abelian groups	2021	Nathanaël Hassler Andrew Treglown
+	RETRACTED: Optimally small sumsets in general Abelian groups	2005	Alain Plagne
+	Large sumsets from medium-sized subsets	2022	Béla Bollobás Imre Leader Marius Tiba
+	Groups with few maximal sum-free sets	2018	Hong Liu Maryam Sharifzadeh
+ PDF Chat	On Maximal Sum-Free Sets in Abelian Groups	2022	Nathanaël Hassler Andrew Treglown
+ PDF Chat	Optimally small sumsets in groups III. The generalized increasingly small sumsets property and the $\nu^{(k)}_G$} functions	2007	Alain Plagne
+ PDF Chat	Small subsets with large sumset: Beyond the Cauchy–Davenport bound	2024	Jacob Fox Sammy Luo Huy Tuan Pham Yunkun Zhou
+	Small subsets with large sumset: Beyond the Cauchy--Davenport bound	2022	Jacob Fox Sammy Luo Huy Tuan Pham Yunkun Zhou
+	Groups with few maximal sum-free sets	2020	Hong Liu Maryam Sharifzadeh
+	Restricted sumsets in a finite abelian group	2009	Shu-Guang Guo

Works That Cite This (10)

Action	Title	Year	Authors
+	Minimum product sets sizes in nonabelian groups	2012	Yakov Berchenko-Kogan
+	Minimum product set sizes in nonabelian groups of order pq	2009	Alan Deckelbaum
+	Minimal sumsets in finite solvable groups	2009	Shalom Eliahou Michel Kervaire
+	The small sumsets property for solvable finite groups	2006	Shalom Eliahou Michel Kervaire
+	BOUNDS ON THE MINIMAL SUMSET SIZE FUNCTION IN GROUPS	2007	Shalom Eliahou Michel Kervaire
+	Exhaustion 2-subsets in dihedral groups of order 2p	2017	Denis C. K. Wong Kuan Wai Wong Wun‐She Yap
+	On Sumset Problems and Their Various Types	2022	Ramandeep Kaur Sandeep Singh
+	Sumsets in dicyclic groups <i>Q</i> <sub>4</sub> <i> <sub>n</sub> </i> and <i> U <sub>m,n</sub> </i>	2023	Ramandeep Kaur Sandeep Singh
+	Small Sumsets in Free Products of $$\mathbb{Z}/2\mathbb{Z}$$	2010	Shalom Eliahou Cédric Lecouvey
+	Sumsets in dihedral groups	2005	Shalom Eliahou Michel Kervaire

Works Cited by This (6)

Action	Title	Year	Authors
+	Minimal sumsets in infinite abelian groups	2005	Shalom Eliahou Michel Kervaire
+	Optimally small sumsets in finite abelian groups	2003	Shalom Eliahou Michel Kervaire Alain Plagne
+	Sumsets in Vector Spaces over Finite Fields	1998	Shalom Eliahou Michel Kervaire
+	The small sumsets property for solvable finite groups	2006	Shalom Eliahou Michel Kervaire
+	Sumsets in dihedral groups	2005	Shalom Eliahou Michel Kervaire
+	On Complexes in a Semigroup	1956	J. H. B. Kemperman