Small doubling in groups
Let A be a subset of a group G = (G,.). We will survey the theory of sets A with the property that |A.A| <= K|A|, where A.A = {a_1 a_2 : a_1, a_2 in A}. The case G = (Z,+) is the famous Freiman--Ruzsa theorem.
Main Authors: | , , |
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Format: | Journal article |
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2013
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_version_ | 1797061333988933632 |
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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 | Let A be a subset of a group G = (G,.). We will survey the theory of sets A with the property that |A.A| <= K|A|, where A.A = {a_1 a_2 : a_1, a_2 in A}. The case G = (Z,+) is the famous Freiman--Ruzsa theorem. |
first_indexed | 2024-03-06T20:29:36Z |
format | Journal article |
id | oxford-uuid:309c51fb-267b-4581-9ebf-dca7d15fc10a |
institution | University of Oxford |
last_indexed | 2024-03-06T20:29:36Z |
publishDate | 2013 |
record_format | dspace |
spelling | oxford-uuid:309c51fb-267b-4581-9ebf-dca7d15fc10a2022-03-26T13:02:28ZSmall doubling in groupsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:309c51fb-267b-4581-9ebf-dca7d15fc10aSymplectic Elements at Oxford2013Breuillard, EGreen, BTao, TLet A be a subset of a group G = (G,.). We will survey the theory of sets A with the property that |A.A| <= K|A|, where A.A = {a_1 a_2 : a_1, a_2 in A}. The case G = (Z,+) is the famous Freiman--Ruzsa theorem. |
spellingShingle | Breuillard, E Green, B Tao, T Small doubling in groups |
title | Small doubling in groups |
title_full | Small doubling in groups |
title_fullStr | Small doubling in groups |
title_full_unstemmed | Small doubling in groups |
title_short | Small doubling in groups |
title_sort | small doubling in groups |
work_keys_str_mv | AT breuillarde smalldoublingingroups AT greenb smalldoublingingroups AT taot smalldoublingingroups |