A note on approximate subgroups of GL_n(C) and uniformly nonamenable groups

Emmanuel Breuillard, Ben Green, Terence Tao

Type: Preprint

Publication Date: 2011-01-01

Citations: 12

DOI: https://doi.org/10.48550/arxiv.1101.2552

View Publication

Locations

arXiv (Cornell University) - View
arXiv (Cornell University) - View - PDF
DataCite API - View
arXiv (Cornell University) - View
arXiv (Cornell University) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	On groups with locally compact asymptotic cones	2015	Mark Sapir
+	Approximate groups, III: the unitary case	2010	Emmanuel BREUILLAND Emmanuel Breuillard Ben Green
+ PDF Chat	The structure of approximate groups	2012	Emmanuel Breuillard Ben Green Terence Tao
+	The structure of approximate groups	2011	Emmanuel Breuillard Ben Green Terence Tao
+	Residually finite subgroups of locally nilpotent groups	2008	Martyn R. Dixon Martin Evans Howard Smith
+	Nilpotent approximations of metabelian groups	1981	D. I. Zaitsev
+	Model theory and metric approximate subgroups	2021	Arturo Rodríguez Fanlo
+	Sylow subgroups of almost locally normal groups	1984	Anna Tkachenko
+	Finite nilpotent groups with relatively large centralizers of noninvariant subgroups	2011	В. А. Антонов T. G. Nozhkina
+ PDF	On groups covered by locally nilpotent subgroups	2016	Eloisa Detomi Marta Morigi Pavel Shumyatsky
+	On subgroups of residually nilpotent metabelian groups	1996	Ada Peluso
+	On groups with nilpotent by ?ernikov proper subgroups	1997	Franco Napolitani E. Pegoraro
+	Approximate groups, II: the solvable linear case	2009	Emmanuel Breuillard Ben Green
+	NILPOTENT SUBGROUPS OF GROUPS WITH ALL SUBGROUPS SUBNORMAL	2003	Carlo Casolo
+	On groups with locally compact asymptotic cones	2013	Mark Sapir
+	On groups with locally compact asymptotic cones	2013	Mark Sapir
+	Approximate groups [according to Hrushovski and Breuillard, Green, Tao]	2015	Lou van den Dries
+	Introduction to Approximate Groups	2019	Matthew Tointon
+	Arbitrary Approximate Groups	2019	Matthew Tointon
+	On the existence of stably nilpotent subgroups in locally nilpotent groups	1968	D. I. Zaitsev

Works That Cite This (12)

Action	Title	Year	Authors
+ PDF Chat	Expansion in SL d (Z/q Z), q arbitrary	2011	Jean Bourgain Péter P. Varjú
+ PDF	Approximate groups III: the unitary case	2012	Emmanuel Breuillard Ben Green
+	Properness of nilprogressions and the persistence of polynomial growth of given degree	2016	Romain Tessera Matthew Tointon
+ PDF	Approximate subgroups of residually nilpotent groups	2019	Matthew Tointon
+	A structure theorem for small sumsets in nonabelian groups	2013	Oriol Serra Gilles Zémor
+	Introduction to Approximate Groups	2019	Matthew Tointon
+	Coset Progressions and Bohr Sets	2019	Matthew Tointon
+ PDF	None	2018	Romain Tessera Matthew Tointon
+	Small Doubling in Groups	2013	Emmanuel Breuillard Ben Green Terence Tao
+	Finite Groups and Complexity Theory: From Leningrad to Saint Petersburg via Las Vegas	2011	László Babai

Works Cited by This (10)

Action	Title	Year	Authors
+	A Strong Tits Alternative	2008	Emmanuel Breuillard
+ PDF	Approximate groups III: the unitary case	2012	Emmanuel Breuillard Ben Green
+ PDF Chat	APPROXIMATE GROUPS, II: THE SOLVABLE LINEAR CASE	2010	Emmanuel Breuillard B. Green
+	Uniform non-amenability	2004	Goulnara Arzhantseva José Burillo Martin Lustig Lawrence Reeves Hamish Short Enric Ventura
+	Growth in finite simple groups of Lie type	2014	László Pyber Endre Szabó
+	Stable group theory and approximate subgroups	2009	Ehud Hrushovski
+	A Height Gap Theorem For Finite Subsets Of GL_d(\bar{Q}) and Non Amenable Subgroups	2008	Emmanuel Breuillard
+	A probabilistic technique for finding almost-periods of convolutions	2010	Ernie Croot Olof Sisask
+	Approximate subgroups of linear groups	2010	Emmanuel Breuillard Ben Green Terence Tao
+ PDF Chat	Powers of sets in free groups	2011	Станислав Рафикович Сафин