{"id":"https://openalex.org/W1747590145","doi":"https://doi.org/10.37236/4664","title":"Flag-Transitive Non-Symmetric 2-Designs with $(r,\\lambda)=1$ and Alternating Socle","display_name":"Flag-Transitive Non-Symmetric 2-Designs with $(r,\\lambda)=1$ and Alternating Socle","publication_year":2015,"publication_date":"2015-04-14","ids":{"openalex":"https://openalex.org/W1747590145","doi":"https://doi.org/10.37236/4664","mag":"1747590145"},"language":"en","primary_location":{"id":"doi:10.37236/4664","is_oa":true,"landing_page_url":"https://doi.org/10.37236/4664","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v22i2p6/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v22i2p6/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053471355","display_name":"Shenglin Zhou","orcid":"https://orcid.org/0000-0003-4784-1803"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shenglin Zhou","raw_affiliation_strings":["South China University of Technology","South China University of, Technology"],"affiliations":[{"raw_affiliation_string":"South China University of Technology","institution_ids":["https://openalex.org/I90610280"]},{"raw_affiliation_string":"South China University of, Technology","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100455426","display_name":"Yajie Wang","orcid":"https://orcid.org/0000-0003-0648-5195"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yajie Wang","raw_affiliation_strings":["South China University of Technology","South China University of, Technology"],"affiliations":[{"raw_affiliation_string":"South China University of Technology","institution_ids":["https://openalex.org/I90610280"]},{"raw_affiliation_string":"South China University of, Technology","institution_ids":["https://openalex.org/I90610280"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5053471355"],"corresponding_institution_ids":["https://openalex.org/I90610280"],"apc_list":null,"apc_paid":null,"fwci":1.3629,"has_fulltext":true,"cited_by_count":18,"citation_normalized_percentile":{"value":0.75172767,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"22","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","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/T10849","display_name":"Finite Group Theory Research","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/T11797","display_name":"graph theory and CDMA systems","score":0.9994000196456909,"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":0.9983000159263611,"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/flag","display_name":"Flag (linear algebra)","score":0.916419506072998},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8266263008117676},{"id":"https://openalex.org/keywords/lambda","display_name":"Lambda","score":0.8212292790412903},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7910727262496948},{"id":"https://openalex.org/keywords/transitive-relation","display_name":"Transitive relation","score":0.706720232963562},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.41095665097236633},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34576988220214844},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.19702139496803284},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.14969009160995483},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12294551730155945},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.055528104305267334}],"concepts":[{"id":"https://openalex.org/C2776730729","wikidata":"https://www.wikidata.org/wiki/Q1392130","display_name":"Flag (linear algebra)","level":3,"score":0.916419506072998},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8266263008117676},{"id":"https://openalex.org/C2778113609","wikidata":"https://www.wikidata.org/wiki/Q10897","display_name":"Lambda","level":2,"score":0.8212292790412903},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7910727262496948},{"id":"https://openalex.org/C191399111","wikidata":"https://www.wikidata.org/wiki/Q64861","display_name":"Transitive relation","level":2,"score":0.706720232963562},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.41095665097236633},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34576988220214844},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.19702139496803284},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.14969009160995483},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12294551730155945},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.055528104305267334},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/4664","is_oa":true,"landing_page_url":"https://doi.org/10.37236/4664","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v22i2p6/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.37236/4664","is_oa":true,"landing_page_url":"https://doi.org/10.37236/4664","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v22i2p6/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1477544716","display_name":null,"funder_award_id":"Guangdong","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G227858465","display_name":null,"funder_award_id":"201301","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3741614218","display_name":null,"funder_award_id":"2013010","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4675978015","display_name":null,"funder_award_id":"11471123","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1747590145.pdf","grobid_xml":"https://content.openalex.org/works/W1747590145.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W1516948311","https://openalex.org/W1562357461","https://openalex.org/W1958871096","https://openalex.org/W1966992138","https://openalex.org/W1967188567","https://openalex.org/W1976677460","https://openalex.org/W2006490784","https://openalex.org/W2021803265","https://openalex.org/W2023681235","https://openalex.org/W2023908345","https://openalex.org/W2037501403","https://openalex.org/W2051170661","https://openalex.org/W2054545518","https://openalex.org/W2798943694","https://openalex.org/W2912810145","https://openalex.org/W2917893419","https://openalex.org/W4205545339","https://openalex.org/W6641843670","https://openalex.org/W6644268970","https://openalex.org/W6651907119","https://openalex.org/W6664329931","https://openalex.org/W6722706253","https://openalex.org/W6815915619"],"related_works":["https://openalex.org/W2324035390","https://openalex.org/W2695311495","https://openalex.org/W3175137310","https://openalex.org/W3034984450","https://openalex.org/W1895129854","https://openalex.org/W146973812","https://openalex.org/W2209303598","https://openalex.org/W4210929581","https://openalex.org/W2260116198","https://openalex.org/W2231593330"],"abstract_inverted_index":{"This":[0],"paper":[1],"deals":[2],"with":[3,7,21,29],"flag-transitive":[4,28],"non-symmetric":[5,18],"2-designs":[6],"$(r,\\lambda)=1$.":[8],"We":[9],"prove":[10],"that":[11],"if":[12],"$\\mathcal":[13,35],"D$":[14,36],"is":[15,27,37],"a":[16,38,46],"non-trivial":[17],"$2$-$(v,k,\\lambda)$":[19],"design":[20],"$(r,\\lambda)=1$":[22],"and":[23],"$G\\leq":[24],"Aut(\\mathcal":[25],"D)$":[26],"$Soc(G)=A_n$":[30],"for":[31],"$n\\geq":[32],"5$,":[33],"then":[34],"$2$-$(6,3,2)$":[39],"design,":[40],"the":[41],"projective":[42],"space":[43],"$PG(3,2)$,":[44],"or":[45],"$2$-$(10,6,5)$":[47],"design.":[48]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-03-18T14:38:29.013473","created_date":"2025-10-10T00:00:00"}
