Product set estimates for non-commutative groups

Terence Tao

Type: Preprint

Publication Date: 2006-01-01

Citations: 10

DOI: https://doi.org/10.48550/arxiv.math/0601431

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Works That Cite This (10)

Action	Title	Year	Authors
+	Bounding multiplicative energy by the sumset	2009	József Solymosi
+	A finitary version of Gromov's polynomial growth theorem	2009	Yehuda Shalom Terence Tao
+ PDF	Growth in $\mathrm{SL}_3(ℤ/pℤ)$	2011	H. A. Helfgott
+	Freiman's theorem for solvable groups	2009	Terence Tao
+	The sum-product phenomenon in arbitrary rings	2008	Terence Tao
+	Towards A Noncommutative Plünnecke-Type Inequality	2010	Imre Z. Ruzsa
+ PDF	A Finitary Version of Gromov’s Polynomial Growth Theorem	2010	Yehuda Shalom Terence Tao
+	Small doubling problems in Baumslag-Solitar groups and sums of dilates	2014	Patrizia Longobardi
+	Growth in SL_3(Z/pZ)	2008	H. A. Helfgott
+	On Freiman's Theorem in Nilpotent Groups	2009	David Fisher Nets Hawk Katz Irine Peng

Works Cited by This (16)

Action	Title	Year	Authors
+	The Number of Homothetic Subsets	2013	Miklós Laczkovich Imre Z. Ruzsa
+	Mordell’s exponential sum estimate revisited	2005	Jean Bourgain
+	Estimates on exponential sums related to the Diffie–Hellman Distributions	2005	Jean Bourgain
+	Generalized arithmetical progressions and sumsets	1994	Imre Z. Ruzsa
+	The structure of sets with few sums along a graph	2006	György Elekes Imre Z. Ruzsa
+	On Subsets with Small Product in Torsion-Free Groups	1998	Yahya Ould Hamidoune Anna Lladó Oriol Serra
+	Entropy and Asymptotic Geometry of Non-Symmetric Convex Bodies	2000	Vitali Milman Alain Pajor
+	Additive number theory: inverse problems and the geometry of sumsets	1997	Melvyn B. Nathanson
+	A statistical theorem of set addition	1994	Antal Balog Endre Szemer�di
+	On the Dimension of Kakeya Sets and Related Maximal Inequalities	1999	Jean Bourgain