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

The aim of this brief note is to offer another proof of a theorem of Hrushovski that approximate subgroups of GL_n(C) are almost nilpotent. This approach generalizes to uniformly non amenable groups.

Bibliographic Details
Main Authors: Breuillard, E, Green, B, Tao, T
Format: Journal article
Published: 2011
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author Breuillard, E
Green, B
Tao, T
author_facet Breuillard, E
Green, B
Tao, T
author_sort Breuillard, E
collection OXFORD
description The aim of this brief note is to offer another proof of a theorem of Hrushovski that approximate subgroups of GL_n(C) are almost nilpotent. This approach generalizes to uniformly non amenable groups.
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spelling oxford-uuid:0550babf-39cc-4081-b54b-9476634fdeef2022-03-26T08:56:31ZA note on approximate subgroups of GL_n(C) and uniformly nonamenable groupsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:0550babf-39cc-4081-b54b-9476634fdeefSymplectic Elements at Oxford2011Breuillard, EGreen, BTao, TThe aim of this brief note is to offer another proof of a theorem of Hrushovski that approximate subgroups of GL_n(C) are almost nilpotent. This approach generalizes to uniformly non amenable groups.
spellingShingle Breuillard, E
Green, B
Tao, T
A note on approximate subgroups of GL_n(C) and uniformly nonamenable groups
title A note on approximate subgroups of GL_n(C) and uniformly nonamenable groups
title_full A note on approximate subgroups of GL_n(C) and uniformly nonamenable groups
title_fullStr A note on approximate subgroups of GL_n(C) and uniformly nonamenable groups
title_full_unstemmed A note on approximate subgroups of GL_n(C) and uniformly nonamenable groups
title_short A note on approximate subgroups of GL_n(C) and uniformly nonamenable groups
title_sort note on approximate subgroups of gl n c and uniformly nonamenable groups
work_keys_str_mv AT breuillarde anoteonapproximatesubgroupsofglncanduniformlynonamenablegroups
AT greenb anoteonapproximatesubgroupsofglncanduniformlynonamenablegroups
AT taot anoteonapproximatesubgroupsofglncanduniformlynonamenablegroups
AT breuillarde noteonapproximatesubgroupsofglncanduniformlynonamenablegroups
AT greenb noteonapproximatesubgroupsofglncanduniformlynonamenablegroups
AT taot noteonapproximatesubgroupsofglncanduniformlynonamenablegroups