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 |