Small Doubling in Groups

Emmanuel Breuillard, Ben Green, Terence Tao

Type: Book-Chapter

Publication Date: 2013-01-01

Citations: 10

DOI: https://doi.org/10.1007/978-3-642-39286-3_5

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Locations

Bolyai Society mathematical studies - View
Bolyai Society mathematical studies - View
Bolyai Society mathematical studies - View

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Works That Cite This (10)

Action	Title	Year	Authors
+	Nilprogressions and groups with moderate growth	2015	Emmanuel Breuillard Matthew Tointon
+	Properness of nilprogressions and the persistence of polynomial growth of given degree	2016	Romain Tessera Matthew Tointon
+	Nilprogressions and groups with moderate growth	2015	Emmanuel Breuillard Matthew Tointon
+	On the structure of subsets of an orderable group with some small doubling properties	2015	Gregory A. Freiman Marcel Herzog Patrizia Longobardi Mercede Maj Alain Plagne Derek J. S. Robinson Yonutz V. Stanchescu
+ PDF Chat	INVERSE THEOREMS FOR SETS AND MEASURES OF POLYNOMIAL GROWTH	2015	Terence Tao
+ PDF	A strengthening of Freiman's 3k−4$3k-4$ theorem	2023	Béla Bollobás Imre Leader Marius Tiba
+ PDF Chat	Polylogarithmic bounds in the nilpotent Freiman theorem	2019	Matthew Tointon
+	Small doubling, atomic structure and $\ell$-divisible set families	2021	Lior Gishboliner Benny Sudakov István Tomon
+	Polylogarithmic bounds in the nilpotent Freiman theorem	2018	Matthew Tointon
+	Approximate subgroups of residually nilpotent groups	2015	Matthew Tointon

Works Cited by This (68)

Action	Title	Year	Authors
+ PDF	On the structure of sets with small doubling property on the plane (I)	1998	Yonutz V. Stanchescu
+	Cayley graphs: eigenvalues, expanders and random walks	1995	Alexander Lubotzky
+	A note on approximate subgroups of GL_n(C) and uniformly nonamenable groups	2011	Emmanuel Breuillard Ben Green Terence Tao
+	Growth in finite simple groups of Lie type of bounded rank	2010	László Pyber Endre Szabó
+	Sums of Finite Sets	1996	Imre Z. Ruzsa
+	Growth in solvable subgroups of GL_r(Z/pZ)	2010	Nick Gill H. A. Helfgott
+ PDF	None	2001	György Elekes Zoltán Király
+	On addition of two distinct sets of integers	1995	Vsevolod F. Lev Pavel Y. Smeliansky
+	Structure Theory of Set Addition	2018	Jean-Marc Deshouillérs Bernard Landreau A. A. Yudin
+	Growth in linear groups	2012	Endre Szabó László Pyber