{"id":"https://openalex.org/W1981479477","doi":"https://doi.org/10.1016/s0195-6698(81)80028-5","title":"A Common Characterization of Finite Projective Spaces and Affine Planes","display_name":"A Common Characterization of Finite Projective Spaces and Affine Planes","publication_year":1981,"publication_date":"1981-09-01","ids":{"openalex":"https://openalex.org/W1981479477","doi":"https://doi.org/10.1016/s0195-6698(81)80028-5","mag":"1981479477"},"language":"en","primary_location":{"id":"doi:10.1016/s0195-6698(81)80028-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0195-6698(81)80028-5","pdf_url":null,"source":{"id":"https://openalex.org/S204851967","display_name":"European Journal of Combinatorics","issn_l":"0195-6698","issn":["0195-6698","1095-9971"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"European Journal of Combinatorics","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/A5109802051","display_name":"Albrecht Beutelspacher","orcid":null},"institutions":[{"id":"https://openalex.org/I197323543","display_name":"Johannes Gutenberg University Mainz","ror":"https://ror.org/023b0x485","country_code":"DE","type":"education","lineage":["https://openalex.org/I197323543"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Albrecht Beutelspacher","raw_affiliation_strings":["Fachbereich Mathematik der Universit\u00e4t Mainz, Saarstr. 21, D-6500 Mainz, Federal Republic of Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fachbereich Mathematik der Universit\u00e4t Mainz, Saarstr. 21, D-6500 Mainz, Federal Republic of Germany","institution_ids":["https://openalex.org/I197323543"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109009050","display_name":"Anne Delandtsheer","orcid":null},"institutions":[{"id":"https://openalex.org/I132053463","display_name":"Universit\u00e9 Libre de Bruxelles","ror":"https://ror.org/01r9htc13","country_code":"BE","type":"education","lineage":["https://openalex.org/I132053463"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Anne Delandtsheer","raw_affiliation_strings":["D\u00e9partement de Math\u00e9matique, Universit\u00e9 Libre de Bruxelles, Campus Plaine, C.P. 210, Boulevard du Triomphe, B-1050 Bruxelles, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matique, Universit\u00e9 Libre de Bruxelles, Campus Plaine, C.P. 210, Boulevard du Triomphe, B-1050 Bruxelles, Belgium","institution_ids":["https://openalex.org/I132053463"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2880,"currency":"USD","value_usd":2880},"apc_paid":null,"fwci":3.5712,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.91337944,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":"2","issue":"3","first_page":"213","last_page":"219"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9861000180244446,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9861000180244446,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9483000040054321,"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9204000234603882,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/projective-plane","display_name":"Projective plane","score":0.9020147919654846},{"id":"https://openalex.org/keywords/fano-plane","display_name":"Fano plane","score":0.8907844424247742},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.843369722366333},{"id":"https://openalex.org/keywords/affine-plane","display_name":"Affine plane (incidence geometry)","score":0.781693696975708},{"id":"https://openalex.org/keywords/finite-geometry","display_name":"Finite geometry","score":0.761634111404419},{"id":"https://openalex.org/keywords/projective-space","display_name":"Projective space","score":0.6688804626464844},{"id":"https://openalex.org/keywords/blocking-set","display_name":"Blocking set","score":0.6662760376930237},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.626437783241272},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.5824358463287354},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5403140187263489},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.5250301957130432},{"id":"https://openalex.org/keywords/line-at-infinity","display_name":"Line at infinity","score":0.5249000787734985},{"id":"https://openalex.org/keywords/affine-space","display_name":"Affine space","score":0.5017211437225342},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.4871801733970642},{"id":"https://openalex.org/keywords/real-projective-plane","display_name":"Real projective plane","score":0.47328871488571167},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.44924208521842957},{"id":"https://openalex.org/keywords/collineation","display_name":"Collineation","score":0.41811442375183105},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4108380079269409},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3855208158493042},{"id":"https://openalex.org/keywords/plane-curve","display_name":"Plane curve","score":0.3617808222770691},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.20199382305145264},{"id":"https://openalex.org/keywords/projective-test","display_name":"Projective test","score":0.17909356951713562}],"concepts":[{"id":"https://openalex.org/C39290043","wikidata":"https://www.wikidata.org/wiki/Q1475760","display_name":"Projective plane","level":3,"score":0.9020147919654846},{"id":"https://openalex.org/C39757861","wikidata":"https://www.wikidata.org/wiki/Q1395814","display_name":"Fano plane","level":2,"score":0.8907844424247742},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.843369722366333},{"id":"https://openalex.org/C154610627","wikidata":"https://www.wikidata.org/wiki/Q382491","display_name":"Affine plane (incidence geometry)","level":3,"score":0.781693696975708},{"id":"https://openalex.org/C44139724","wikidata":"https://www.wikidata.org/wiki/Q1077896","display_name":"Finite geometry","level":4,"score":0.761634111404419},{"id":"https://openalex.org/C75280867","wikidata":"https://www.wikidata.org/wiki/Q877775","display_name":"Projective space","level":3,"score":0.6688804626464844},{"id":"https://openalex.org/C56952292","wikidata":"https://www.wikidata.org/wiki/Q17005980","display_name":"Blocking set","level":5,"score":0.6662760376930237},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.626437783241272},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.5824358463287354},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5403140187263489},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.5250301957130432},{"id":"https://openalex.org/C15751092","wikidata":"https://www.wikidata.org/wiki/Q2130665","display_name":"Line at infinity","level":5,"score":0.5249000787734985},{"id":"https://openalex.org/C173110770","wikidata":"https://www.wikidata.org/wiki/Q382698","display_name":"Affine space","level":3,"score":0.5017211437225342},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.4871801733970642},{"id":"https://openalex.org/C37470923","wikidata":"https://www.wikidata.org/wiki/Q633815","display_name":"Real projective plane","level":5,"score":0.47328871488571167},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.44924208521842957},{"id":"https://openalex.org/C163434512","wikidata":"https://www.wikidata.org/wiki/Q390741","display_name":"Collineation","level":4,"score":0.41811442375183105},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4108380079269409},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3855208158493042},{"id":"https://openalex.org/C43809302","wikidata":"https://www.wikidata.org/wiki/Q1060874","display_name":"Plane curve","level":2,"score":0.3617808222770691},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.20199382305145264},{"id":"https://openalex.org/C177846678","wikidata":"https://www.wikidata.org/wiki/Q1501864","display_name":"Projective test","level":2,"score":0.17909356951713562},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C117220453","wikidata":"https://www.wikidata.org/wiki/Q5172842","display_name":"Correlation","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/s0195-6698(81)80028-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0195-6698(81)80028-5","pdf_url":null,"source":{"id":"https://openalex.org/S204851967","display_name":"European Journal of Combinatorics","issn_l":"0195-6698","issn":["0195-6698","1095-9971"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"European Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:dipot.ulb.ac.be:2013/49600","is_oa":false,"landing_page_url":"http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/49600","pdf_url":null,"source":{"id":"https://openalex.org/S4306401063","display_name":"D\u00e9p\u00f4t institutionnel de l'Universit\u00e9 libre de Bruxelles (Universit\u00e9 Libre de Bruxelles)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I132053463","host_organization_name":"Universit\u00e9 Libre de Bruxelles","host_organization_lineage":["https://openalex.org/I132053463"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"European journal of combinatorics, 2","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4699999988079071,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2558849366","https://openalex.org/W1981479477","https://openalex.org/W1129002488","https://openalex.org/W4213345234","https://openalex.org/W2017522392","https://openalex.org/W2055709997","https://openalex.org/W2331418434","https://openalex.org/W1496979297","https://openalex.org/W1991702258","https://openalex.org/W4388340736"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-21T06:12:48.119943","created_date":"2016-06-24T00:00:00"}