{"id":"https://openalex.org/W2135489994","doi":"https://doi.org/10.1007/s10623-007-9063-8","title":"Translation planes of order q 2 admitting a two-transitive orbit of length q + 1 on the line at infinity","display_name":"Translation planes of order q 2 admitting a two-transitive orbit of length q + 1 on the line at infinity","publication_year":2007,"publication_date":"2007-05-17","ids":{"openalex":"https://openalex.org/W2135489994","doi":"https://doi.org/10.1007/s10623-007-9063-8","mag":"2135489994"},"language":"en","primary_location":{"id":"doi:10.1007/s10623-007-9063-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-007-9063-8","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","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/A5075052081","display_name":"Mauro Biliotti","orcid":"https://orcid.org/0000-0003-1145-166X"},"institutions":[{"id":"https://openalex.org/I4210095193","display_name":"Istituto Nazionale di Fisica Nucleare, Sezione di Lecce","ror":"https://ror.org/00qrf6g60","country_code":"IT","type":"facility","lineage":["https://openalex.org/I160013858","https://openalex.org/I4210095193"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"M. Biliotti","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e0 di Lecce, Via Arnesano, 73100, Lecce, Italy","Dipartimento di Matematica, Universit\u00e0 di Lecce, Lecce, Italy 73100#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 di Lecce, Via Arnesano, 73100, Lecce, Italy","institution_ids":["https://openalex.org/I4210095193"]},{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 di Lecce, Lecce, Italy 73100#TAB#","institution_ids":["https://openalex.org/I4210095193"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108103330","display_name":"Vikram Jha","orcid":null},"institutions":[{"id":"https://openalex.org/I195939026","display_name":"Glasgow Caledonian University","ror":"https://ror.org/03dvm1235","country_code":"GB","type":"education","lineage":["https://openalex.org/I195939026"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"V. Jha","raw_affiliation_strings":["Mathematics Department, Caledonian University, Cowcaddens Road, Glasgow, Scotland","Mathematics Department, Caledonian University, Glasgow, Scotland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Department, Caledonian University, Cowcaddens Road, Glasgow, Scotland","institution_ids":["https://openalex.org/I195939026"]},{"raw_affiliation_string":"Mathematics Department, Caledonian University, Glasgow, Scotland","institution_ids":["https://openalex.org/I195939026"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5107305724","display_name":"Norman L. Johnson","orcid":"https://orcid.org/0000-0003-3636-7579"},"institutions":[{"id":"https://openalex.org/I126307644","display_name":"University of Iowa","ror":"https://ror.org/036jqmy94","country_code":"US","type":"education","lineage":["https://openalex.org/I126307644"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"N. L. Johnson","raw_affiliation_strings":["Mathematics Department, University of Iowa, Iowa City, Iowa, 52242, USA","Mathematics Department, University of Iowa, Iowa City, USA 52242#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Department, University of Iowa, Iowa City, Iowa, 52242, USA","institution_ids":["https://openalex.org/I126307644"]},{"raw_affiliation_string":"Mathematics Department, University of Iowa, Iowa City, USA 52242#TAB#","institution_ids":["https://openalex.org/I126307644"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024641723","display_name":"Alessandro Montinaro","orcid":"https://orcid.org/0000-0002-6489-044X"},"institutions":[{"id":"https://openalex.org/I4210095193","display_name":"Istituto Nazionale di Fisica Nucleare, Sezione di Lecce","ror":"https://ror.org/00qrf6g60","country_code":"IT","type":"facility","lineage":["https://openalex.org/I160013858","https://openalex.org/I4210095193"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"A. Montinaro","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e0 di Lecce, Via Arnesano, 73100, Lecce, Italy","Dipartimento di Matematica, Universit\u00e0 di Lecce, Lecce, Italy 73100#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 di Lecce, Via Arnesano, 73100, Lecce, Italy","institution_ids":["https://openalex.org/I4210095193"]},{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 di Lecce, Lecce, Italy 73100#TAB#","institution_ids":["https://openalex.org/I4210095193"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5107305724"],"corresponding_institution_ids":["https://openalex.org/I126307644"],"apc_list":{"value":3190,"currency":"USD","value_usd":3190},"apc_paid":null,"fwci":1.0156,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.75403226,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"44","issue":"1-3","first_page":"69","last_page":"86"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9998999834060669,"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/T10849","display_name":"Finite Group Theory Research","score":0.9998999834060669,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9994999766349792,"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/T11130","display_name":"Coding theory and cryptography","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/collineation","display_name":"Collineation","score":0.7933380603790283},{"id":"https://openalex.org/keywords/transitive-relation","display_name":"Transitive relation","score":0.7426577806472778},{"id":"https://openalex.org/keywords/infinity","display_name":"Infinity","score":0.7038064002990723},{"id":"https://openalex.org/keywords/translation","display_name":"Translation (biology)","score":0.6978564858436584},{"id":"https://openalex.org/keywords/orbit","display_name":"Orbit (dynamics)","score":0.6683496832847595},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.6154799461364746},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.5762758255004883},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5731381177902222},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.49226418137550354},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.37296009063720703},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.26660817861557007},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.18688663840293884},{"id":"https://openalex.org/keywords/projective-space","display_name":"Projective space","score":0.08253487944602966}],"concepts":[{"id":"https://openalex.org/C163434512","wikidata":"https://www.wikidata.org/wiki/Q390741","display_name":"Collineation","level":4,"score":0.7933380603790283},{"id":"https://openalex.org/C191399111","wikidata":"https://www.wikidata.org/wiki/Q64861","display_name":"Transitive relation","level":2,"score":0.7426577806472778},{"id":"https://openalex.org/C7321624","wikidata":"https://www.wikidata.org/wiki/Q205","display_name":"Infinity","level":2,"score":0.7038064002990723},{"id":"https://openalex.org/C149364088","wikidata":"https://www.wikidata.org/wiki/Q185917","display_name":"Translation (biology)","level":4,"score":0.6978564858436584},{"id":"https://openalex.org/C196644772","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Orbit (dynamics)","level":2,"score":0.6683496832847595},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.6154799461364746},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.5762758255004883},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5731381177902222},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.49226418137550354},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.37296009063720703},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26660817861557007},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18688663840293884},{"id":"https://openalex.org/C75280867","wikidata":"https://www.wikidata.org/wiki/Q877775","display_name":"Projective space","level":3,"score":0.08253487944602966},{"id":"https://openalex.org/C105580179","wikidata":"https://www.wikidata.org/wiki/Q188928","display_name":"Messenger RNA","level":3,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C177846678","wikidata":"https://www.wikidata.org/wiki/Q1501864","display_name":"Projective test","level":2,"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10623-007-9063-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-007-9063-8","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321873","display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca","ror":"https://ror.org/0166hxq48"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1493654001","https://openalex.org/W1514434766","https://openalex.org/W1530299624","https://openalex.org/W1575239581","https://openalex.org/W1966231380","https://openalex.org/W1967627221","https://openalex.org/W1986403364","https://openalex.org/W1988653162","https://openalex.org/W1995086525","https://openalex.org/W2012352663","https://openalex.org/W2029054888","https://openalex.org/W2050815075","https://openalex.org/W2071134188","https://openalex.org/W2077508738","https://openalex.org/W2080676105","https://openalex.org/W2087118055","https://openalex.org/W2089002678","https://openalex.org/W2093975697","https://openalex.org/W2095654931","https://openalex.org/W2315849846","https://openalex.org/W2327283878","https://openalex.org/W6699511074"],"related_works":["https://openalex.org/W4312527695","https://openalex.org/W2361167282","https://openalex.org/W2091342995","https://openalex.org/W3007067598","https://openalex.org/W1528932152","https://openalex.org/W2016284711","https://openalex.org/W2183759697","https://openalex.org/W2168506164","https://openalex.org/W2111867640","https://openalex.org/W2609465951"],"abstract_inverted_index":null,"counts_by_year":[{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}