{"id":"https://openalex.org/W2144891695","doi":"https://doi.org/10.1112/jlms/jds056","title":"Uniform cell decomposition with applications to Chevalley groups","display_name":"Uniform cell decomposition with applications to Chevalley groups","publication_year":2012,"publication_date":"2012-12-12","ids":{"openalex":"https://openalex.org/W2144891695","doi":"https://doi.org/10.1112/jlms/jds056","mag":"2144891695"},"language":"en","primary_location":{"id":"doi:10.1112/jlms/jds056","is_oa":false,"landing_page_url":"https://doi.org/10.1112/jlms/jds056","pdf_url":null,"source":{"id":"https://openalex.org/S4210207695","display_name":"Journal of the London Mathematical Society","issn_l":"0024-6107","issn":["0024-6107","1469-7750"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the London Mathematical Society","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1106.2885","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Mark N. Berman","orcid":null},"institutions":[{"id":"https://openalex.org/I157614274","display_name":"University of Cape Town","ror":"https://ror.org/03p74gp79","country_code":"ZA","type":"education","lineage":["https://openalex.org/I157614274"]}],"countries":["ZA"],"is_corresponding":true,"raw_author_name":"Mark N. Berman","raw_affiliation_strings":["Department of Mathematics and Applied Mathematics, University of Cape Town, Rondebosch 7701, South Africa"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Applied Mathematics, University of Cape Town, Rondebosch 7701, South Africa","institution_ids":["https://openalex.org/I157614274"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Jamshid Derakhshan","orcid":null},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Jamshid Derakhshan","raw_affiliation_strings":["Mathematical Institute, University of Oxford, 24\u201329 St. Giles, Oxford OX1 3LB, UK,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Institute, University of Oxford, 24\u201329 St. Giles, Oxford OX1 3LB, UK,","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Uri Onn","orcid":null},"institutions":[{"id":"https://openalex.org/I124227911","display_name":"Ben-Gurion University of the Negev","ror":"https://ror.org/05tkyf982","country_code":"IL","type":"education","lineage":["https://openalex.org/I124227911"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Uri Onn","raw_affiliation_strings":["Department of Mathematics, Ben Gurion University of the Negev, Beer-Sheva 84105, Israel,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Ben Gurion University of the Negev, Beer-Sheva 84105, Israel,","institution_ids":["https://openalex.org/I124227911"]}]},{"author_position":"last","author":{"id":null,"display_name":"Pirita Paajanen","orcid":null},"institutions":[{"id":"https://openalex.org/I133731052","display_name":"University of Helsinki","ror":"https://ror.org/040af2s02","country_code":"FI","type":"education","lineage":["https://openalex.org/I133731052"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Pirita Paajanen","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Helsinki, P.O. Box 68, FI-00014 Helsinki, Finland,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Helsinki, P.O. Box 68, FI-00014 Helsinki, Finland,","institution_ids":["https://openalex.org/I133731052"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I157614274"],"apc_list":{"value":3710,"currency":"USD","value_usd":3710},"apc_paid":null,"fwci":0.4101,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.61036196,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"87","issue":"2","first_page":"586","last_page":"606"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry","score":0.32409998774528503,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11680","display_name":"Advanced Algebra and Geometry","score":0.32409998774528503,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11166","display_name":"Analytic Number Theory Research","score":0.17640000581741333,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T10899","display_name":"Advanced Operator Algebra Research","score":0.08429999649524689,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/quotient","display_name":"Quotient","score":0.8360000252723694},{"id":"https://openalex.org/keywords/conjugacy-class","display_name":"Conjugacy class","score":0.7071999907493591},{"id":"https://openalex.org/keywords/congruence","display_name":"Congruence (geometry)","score":0.6410999894142151},{"id":"https://openalex.org/keywords/residue","display_name":"Residue (chemistry)","score":0.5478000044822693},{"id":"https://openalex.org/keywords/explicit-formulae","display_name":"Explicit formulae","score":0.32749998569488525}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.887499988079071},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.8360000252723694},{"id":"https://openalex.org/C87945829","wikidata":"https://www.wikidata.org/wiki/Q1353233","display_name":"Conjugacy class","level":2,"score":0.7071999907493591},{"id":"https://openalex.org/C132074034","wikidata":"https://www.wikidata.org/wiki/Q154210","display_name":"Congruence (geometry)","level":2,"score":0.6410999894142151},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5722000002861023},{"id":"https://openalex.org/C2781338088","wikidata":"https://www.wikidata.org/wiki/Q903495","display_name":"Residue (chemistry)","level":2,"score":0.5478000044822693},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35920000076293945},{"id":"https://openalex.org/C27783845","wikidata":"https://www.wikidata.org/wiki/Q5421272","display_name":"Explicit formulae","level":2,"score":0.32749998569488525},{"id":"https://openalex.org/C2777941758","wikidata":"https://www.wikidata.org/wiki/Q5161000","display_name":"Congruence subgroup","level":2,"score":0.3264999985694885},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.29260000586509705},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.26510000228881836}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1112/jlms/jds056","is_oa":false,"landing_page_url":"https://doi.org/10.1112/jlms/jds056","pdf_url":null,"source":{"id":"https://openalex.org/S4210207695","display_name":"Journal of the London Mathematical Society","issn_l":"0024-6107","issn":["0024-6107","1469-7750"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the London Mathematical Society","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1106.2885","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1106.2885","pdf_url":"https://arxiv.org/pdf/1106.2885","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1106.2885","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1106.2885","pdf_url":"https://arxiv.org/pdf/1106.2885","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0,18],"express":[1],"integrals":[2],"of":[3,16,36,44,57,69,81,84,91],"definable":[4,7],"functions":[5,29,78],"over":[6],"sets":[8],"uniformly":[9],"for":[10,48,76],"non-Archimedean":[11],"local":[12],"fields,":[13],"extending":[14],"results":[15],"Pas.":[17],"apply":[19],"this":[20],"to":[21,88],"Chevalley":[22],"groups,":[23],"in":[24,33,60],"particular,":[25,54],"proving":[26],"that":[27],"zeta":[28,77],"counting":[30,79],"conjugacy":[31,58],"classes":[32,59],"congruence":[34,62],"quotients":[35],"such":[37,92],"groups":[38],"depend":[39],"only":[40,65],"on":[41,66],"the":[42,45,55,67,70],"size":[43,68],"residue":[46,51,71],"field,":[47],"sufficiently":[49],"large":[50],"characteristic.":[52],"In":[53],"number":[56],"a":[61],"quotient":[63],"depends":[64],"field.":[72],"The":[73],"same":[74],"holds":[75],"dimensions":[80],"Hecke":[82],"modules":[83],"intertwining":[85],"operators":[86],"associated":[87],"induced":[89],"representations":[90],"quotients.":[93]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-03T08:13:44.112507","created_date":"2016-06-24T00:00:00"}