{"id":"https://openalex.org/W2000713788","doi":"https://doi.org/10.1007/s00493-008-2271-7","title":"Product set estimates for non-commutative groups","display_name":"Product set estimates for non-commutative groups","publication_year":2008,"publication_date":"2008-08-12","ids":{"openalex":"https://openalex.org/W2000713788","doi":"https://doi.org/10.1007/s00493-008-2271-7","mag":"2000713788"},"language":"en","primary_location":{"id":"doi:10.1007/s00493-008-2271-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-008-2271-7","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorica","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066728260","display_name":"Terence Tao","orcid":"https://orcid.org/0000-0002-0140-7641"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Terence Tao","raw_affiliation_strings":["Department of Mathematics, UCLA, 405 Hilgard Ave, Los Angeles, CA, 90095-1555, USA","UCLA, Department of Mathematics, 405 Hilgard Ave, 90095-1555, Los Angeles, CA, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, UCLA, 405 Hilgard Ave, Los Angeles, CA, 90095-1555, USA","institution_ids":["https://openalex.org/I161318765"]},{"raw_affiliation_string":"UCLA, Department of Mathematics, 405 Hilgard Ave, 90095-1555, Los Angeles, CA, USA#TAB#","institution_ids":["https://openalex.org/I161318765"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5066728260"],"corresponding_institution_ids":["https://openalex.org/I161318765"],"apc_list":null,"apc_paid":null,"fwci":17.3351,"has_fulltext":false,"cited_by_count":214,"citation_normalized_percentile":{"value":0.99610312,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"28","issue":"5","first_page":"547","last_page":"594"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9778000116348267,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9631999731063843,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8823867440223694},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.7794554233551025},{"id":"https://openalex.org/keywords/nilpotent","display_name":"Nilpotent","score":0.7614929676055908},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.6167859435081482},{"id":"https://openalex.org/keywords/torsion","display_name":"Torsion (gastropod)","score":0.44490957260131836},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.4352138638496399},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.4180053770542145},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3838465213775635},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3806006610393524},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3764498829841614},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09866181015968323}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8823867440223694},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.7794554233551025},{"id":"https://openalex.org/C50555996","wikidata":"https://www.wikidata.org/wiki/Q840023","display_name":"Nilpotent","level":2,"score":0.7614929676055908},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.6167859435081482},{"id":"https://openalex.org/C77461463","wikidata":"https://www.wikidata.org/wiki/Q7827201","display_name":"Torsion (gastropod)","level":2,"score":0.44490957260131836},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.4352138638496399},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4180053770542145},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3838465213775635},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3806006610393524},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3764498829841614},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09866181015968323},{"id":"https://openalex.org/C141071460","wikidata":"https://www.wikidata.org/wiki/Q40821","display_name":"Surgery","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00493-008-2271-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-008-2271-7","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorica","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.235.7920","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.235.7920","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/math/0601431v1.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W1483336251","https://openalex.org/W1507768330","https://openalex.org/W1537628726","https://openalex.org/W1539497949","https://openalex.org/W1555768633","https://openalex.org/W1661988636","https://openalex.org/W1978353872","https://openalex.org/W1990524943","https://openalex.org/W1991135809","https://openalex.org/W2000040997","https://openalex.org/W2008699925","https://openalex.org/W2018262945","https://openalex.org/W2023847659","https://openalex.org/W2023969508","https://openalex.org/W2025805784","https://openalex.org/W2058740190","https://openalex.org/W2065862555","https://openalex.org/W2072611242","https://openalex.org/W2080640605","https://openalex.org/W2084903571","https://openalex.org/W2091022463","https://openalex.org/W2091329824","https://openalex.org/W2096324031","https://openalex.org/W2164198530","https://openalex.org/W2171162943","https://openalex.org/W2315173711","https://openalex.org/W2335400162","https://openalex.org/W2342433841","https://openalex.org/W2912209775","https://openalex.org/W2949910731","https://openalex.org/W3039948875","https://openalex.org/W3042328837","https://openalex.org/W4249664721","https://openalex.org/W4312923496","https://openalex.org/W4389255158","https://openalex.org/W6633621516"],"related_works":["https://openalex.org/W4381552820","https://openalex.org/W2949088068","https://openalex.org/W4254387663","https://openalex.org/W2003251765","https://openalex.org/W2164424388","https://openalex.org/W3087741903","https://openalex.org/W3209278160","https://openalex.org/W7111035","https://openalex.org/W2335209002","https://openalex.org/W1970551107"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":11},{"year":2021,"cited_by_count":14},{"year":2020,"cited_by_count":18},{"year":2019,"cited_by_count":24},{"year":2018,"cited_by_count":11},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":12},{"year":2015,"cited_by_count":20},{"year":2014,"cited_by_count":17},{"year":2013,"cited_by_count":11},{"year":2012,"cited_by_count":17}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}