{"id":"https://openalex.org/W1979703569","doi":"https://doi.org/10.1155/2011/757134","title":"A Character Condition for Quadruple Transitivity","display_name":"A Character Condition for Quadruple Transitivity","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W1979703569","doi":"https://doi.org/10.1155/2011/757134","mag":"1979703569"},"language":"en","primary_location":{"id":"doi:10.1155/2011/757134","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2011/757134","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2011/757134.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/ijmms/2011/757134.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5017676329","display_name":"Shuaa Aldhafeeri","orcid":"https://orcid.org/0009-0001-1040-1532"},"institutions":[{"id":"https://openalex.org/I79619799","display_name":"University of Birmingham","ror":"https://ror.org/03angcq70","country_code":"GB","type":"education","lineage":["https://openalex.org/I79619799"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"S. Aldhafeeri","raw_affiliation_strings":["School of Mathematics, University of Birmingham, Edgbaston, Birmingham B15 2TT, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, University of Birmingham, Edgbaston, Birmingham B15 2TT, UK","institution_ids":["https://openalex.org/I79619799"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066328458","display_name":"Robert T. Curtis","orcid":null},"institutions":[{"id":"https://openalex.org/I79619799","display_name":"University of Birmingham","ror":"https://ror.org/03angcq70","country_code":"GB","type":"education","lineage":["https://openalex.org/I79619799"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"R. T. Curtis","raw_affiliation_strings":["School of Mathematics, University of Birmingham, Edgbaston, Birmingham B15 2TT, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, University of Birmingham, Edgbaston, Birmingham B15 2TT, UK","institution_ids":["https://openalex.org/I79619799"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5017676329"],"corresponding_institution_ids":["https://openalex.org/I79619799"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07622244,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2011","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.8403000235557556,"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/T12504","display_name":"Mathematics and Applications","score":0.8403000235557556,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8922878503799438},{"id":"https://openalex.org/keywords/transitive-relation","display_name":"Transitive relation","score":0.7946406006813049},{"id":"https://openalex.org/keywords/character","display_name":"Character (mathematics)","score":0.7374998331069946},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4200747013092041},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.352355420589447},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15777882933616638}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8922878503799438},{"id":"https://openalex.org/C191399111","wikidata":"https://www.wikidata.org/wiki/Q64861","display_name":"Transitive relation","level":2,"score":0.7946406006813049},{"id":"https://openalex.org/C2780861071","wikidata":"https://www.wikidata.org/wiki/Q1062934","display_name":"Character (mathematics)","level":2,"score":0.7374998331069946},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4200747013092041},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.352355420589447},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15777882933616638}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2011/757134","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2011/757134","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2011/757134.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:jijmms:757134","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/IJMMS/2011/757134.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"pmh:oai:doaj.org/article:b530839bdbbf4613a75f39f92638da6b","is_oa":true,"landing_page_url":"https://doaj.org/article/b530839bdbbf4613a75f39f92638da6b","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences, Vol 2011 (2011)","raw_type":"article"},{"id":"pmh:oai:hindawi.com:10.1155/2011/757134","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2011/757134","pdf_url":null,"source":{"id":"https://openalex.org/S4306400340","display_name":"Hindawi Journal of Chemistry (Hindawi)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210126990","host_organization_name":"Hindawi (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210126990"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Research Article"}],"best_oa_location":{"id":"doi:10.1155/2011/757134","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2011/757134","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2011/757134.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.6499999761581421,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1979703569.pdf","grobid_xml":"https://content.openalex.org/works/W1979703569.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W1538232960","https://openalex.org/W1972898718","https://openalex.org/W1974777785","https://openalex.org/W2031812198","https://openalex.org/W2045148827","https://openalex.org/W2074787108","https://openalex.org/W2087365295","https://openalex.org/W2090388949","https://openalex.org/W2107061370","https://openalex.org/W2490728539","https://openalex.org/W2503354009","https://openalex.org/W2970789867","https://openalex.org/W3210674578","https://openalex.org/W4214684581"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W4312527695","https://openalex.org/W2361167282","https://openalex.org/W1528932152","https://openalex.org/W2091342995","https://openalex.org/W2271118953","https://openalex.org/W3007067598","https://openalex.org/W2359420171","https://openalex.org/W1677394555","https://openalex.org/W2073498251"],"abstract_inverted_index":{"Let":[0],"G":[1,65,75,89],"be":[2],"a":[3,11],"permutation":[4],"group":[5,16],"of":[6,13,29,35,39],"degree":[7],"n":[8,20,36,41,57,68],"viewed":[9],"as":[10],"subgroup":[12],"the":[14,26,33,50],"symmetric":[15],"S":[17,19,30,77],"\u2245":[18,76],".":[21],"We":[22],"show":[23],"that":[24,46],"if":[25],"irreducible":[27,61],"character":[28,51],"corresponding":[31],"to":[32,48,64],"partition":[34],"into":[37],"subsets":[38],"sizes":[40],"\u2212":[42],"2":[43,85],"and":[44,74],"2,":[45],"is,":[47],"say":[49],"often":[52],"denoted":[53],"by":[54],"\u03c7":[55],"(":[56],"\u22122,2)":[58],",":[59,66,79,82],"remains":[60],"when":[62],"restricted":[63],"then":[67],"=":[69],"4,":[70],"5":[71,81],"or":[72,83,88],"9":[73],"3":[78],"A":[80],"P\u03a3L":[84],"(8),":[86],"respectively,":[87],"is":[90],"4\u2010transitive.":[91]},"counts_by_year":[],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
