{"id":"https://openalex.org/W2056722707","doi":"https://doi.org/10.1142/s0219061303000261","title":"APPLICATIONS OF THE GROUP CONFIGURATION THEOREM IN SIMPLE THEORIES","display_name":"APPLICATIONS OF THE GROUP CONFIGURATION THEOREM IN SIMPLE THEORIES","publication_year":2003,"publication_date":"2003-11-01","ids":{"openalex":"https://openalex.org/W2056722707","doi":"https://doi.org/10.1142/s0219061303000261","mag":"2056722707"},"language":"en","primary_location":{"id":"doi:10.1142/s0219061303000261","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219061303000261","pdf_url":null,"source":{"id":"https://openalex.org/S29890666","display_name":"Journal of Mathematical Logic","issn_l":"0219-0613","issn":["0219-0613","1793-6691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Logic","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/A5103141255","display_name":"Ivan Toma\u0161i\u0107","orcid":"https://orcid.org/0009-0000-8778-5610"},"institutions":[{"id":"https://openalex.org/I130828816","display_name":"University of Leeds","ror":"https://ror.org/024mrxd33","country_code":"GB","type":"education","lineage":["https://openalex.org/I130828816"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"IVAN TOMA\u0160I\u0106","raw_affiliation_strings":["School of Mathematics, University of Leeds, Leeds LS2 9JT, UK","School of Mathematics , University of Leeds , Leeds LS2 9JT, UK"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, University of Leeds, Leeds LS2 9JT, UK","institution_ids":["https://openalex.org/I130828816"]},{"raw_affiliation_string":"School of Mathematics , University of Leeds , Leeds LS2 9JT, UK","institution_ids":["https://openalex.org/I130828816"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113593194","display_name":"Frank Olaf Wagner","orcid":null},"institutions":[{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"FRANK O. WAGNER","raw_affiliation_strings":["Institut Girard Desargues, Universit\u00e9 Lyon 1, 21 avenue Claude Bernard, 69622 Villeurbanne-cedex, France"],"affiliations":[{"raw_affiliation_string":"Institut Girard Desargues, Universit\u00e9 Lyon 1, 21 avenue Claude Bernard, 69622 Villeurbanne-cedex, France","institution_ids":["https://openalex.org/I100532134"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5103141255"],"corresponding_institution_ids":["https://openalex.org/I130828816"],"apc_list":null,"apc_paid":null,"fwci":2.2114,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.86985789,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"03","issue":"02","first_page":"239","last_page":"255"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9987999796867371,"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"}},"topics":[{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9987999796867371,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9797000288963318,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9742000102996826,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8506742119789124},{"id":"https://openalex.org/keywords/categorical-variable","display_name":"Categorical variable","score":0.5664977431297302},{"id":"https://openalex.org/keywords/modular-design","display_name":"Modular design","score":0.5658850073814392},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5517374277114868},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.5428443551063538},{"id":"https://openalex.org/keywords/classification-of-finite-simple-groups","display_name":"Classification of finite simple groups","score":0.5255787968635559},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5128769874572754},{"id":"https://openalex.org/keywords/finitely-generated-abelian-group","display_name":"Finitely-generated abelian group","score":0.5051437020301819},{"id":"https://openalex.org/keywords/group-theory","display_name":"Group theory","score":0.494646281003952},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.47630178928375244},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.46428433060646057},{"id":"https://openalex.org/keywords/modular-group","display_name":"Modular group","score":0.4430282711982727},{"id":"https://openalex.org/keywords/simple-group","display_name":"Simple group","score":0.4131756126880646},{"id":"https://openalex.org/keywords/group-of-lie-type","display_name":"Group of Lie type","score":0.13689985871315002},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.0871976912021637}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8506742119789124},{"id":"https://openalex.org/C5274069","wikidata":"https://www.wikidata.org/wiki/Q2285707","display_name":"Categorical variable","level":2,"score":0.5664977431297302},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.5658850073814392},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5517374277114868},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.5428443551063538},{"id":"https://openalex.org/C63388996","wikidata":"https://www.wikidata.org/wiki/Q1340623","display_name":"Classification of finite simple groups","level":4,"score":0.5255787968635559},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5128769874572754},{"id":"https://openalex.org/C162860070","wikidata":"https://www.wikidata.org/wiki/Q142140","display_name":"Finitely-generated abelian group","level":2,"score":0.5051437020301819},{"id":"https://openalex.org/C81651864","wikidata":"https://www.wikidata.org/wiki/Q874429","display_name":"Group theory","level":2,"score":0.494646281003952},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.47630178928375244},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.46428433060646057},{"id":"https://openalex.org/C181633103","wikidata":"https://www.wikidata.org/wiki/Q1834342","display_name":"Modular group","level":2,"score":0.4430282711982727},{"id":"https://openalex.org/C5383885","wikidata":"https://www.wikidata.org/wiki/Q571124","display_name":"Simple group","level":3,"score":0.4131756126880646},{"id":"https://openalex.org/C51997251","wikidata":"https://www.wikidata.org/wiki/Q1406425","display_name":"Group of Lie type","level":3,"score":0.13689985871315002},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0871976912021637},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0219061303000261","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219061303000261","pdf_url":null,"source":{"id":"https://openalex.org/S29890666","display_name":"Journal of Mathematical Logic","issn_l":"0219-0613","issn":["0219-0613","1793-6691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Logic","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W394295880","https://openalex.org/W1993352405","https://openalex.org/W2051218963","https://openalex.org/W2053905864","https://openalex.org/W2121926919","https://openalex.org/W2128080197","https://openalex.org/W2157768473","https://openalex.org/W4212870790","https://openalex.org/W4213161523","https://openalex.org/W4251808142","https://openalex.org/W4256751134"],"related_works":["https://openalex.org/W2594545647","https://openalex.org/W1986567673","https://openalex.org/W1978417863","https://openalex.org/W2086372144","https://openalex.org/W1972265932","https://openalex.org/W132011110","https://openalex.org/W2046195881","https://openalex.org/W1598549886","https://openalex.org/W591322009","https://openalex.org/W2074054142"],"abstract_inverted_index":{"We":[0,10],"reconstruct":[1],"the":[2,6,30],"group":[3,7],"action":[4],"in":[5,16],"configuration":[8],"theorem.":[9],"apply":[11],"it":[12],"to":[13,33],"show":[14],"that":[15],"an":[17],"\u03c9-categorical":[18],"theory":[19],"a":[20,34,45],"finitely":[21,35],"based":[22,36],"pseudolinear":[23],"regular":[24,39],"type":[25,40],"is":[26,41],"locally":[27,37],"modular,":[28],"and":[29],"geometry":[31,43],"associated":[32],"modular":[38],"projective":[42],"over":[44],"finite":[46],"field.":[47]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}