{"id":"https://openalex.org/W2938947250","doi":"https://doi.org/10.1142/s1793830919500320","title":"Automorphisms of prime-cube order group","display_name":"Automorphisms of prime-cube order group","publication_year":2019,"publication_date":"2019-03-24","ids":{"openalex":"https://openalex.org/W2938947250","doi":"https://doi.org/10.1142/s1793830919500320","mag":"2938947250"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830919500320","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830919500320","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"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":"Discrete Mathematics, Algorithms and Applications","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/A5101469988","display_name":"Yi Wang","orcid":"https://orcid.org/0000-0002-1522-7385"},"institutions":[{"id":"https://openalex.org/I110109458","display_name":"Tianjin University of Commerce","ror":"https://ror.org/02b6amy98","country_code":"CN","type":"education","lineage":["https://openalex.org/I110109458"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yi Wang","raw_affiliation_strings":["Department of Mathematics, Tianjin University of Commerce, Tianjin, 300134, P. R. China"],"raw_orcid":"https://orcid.org/0000-0002-1522-7385","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Tianjin University of Commerce, Tianjin, 300134, P. R. China","institution_ids":["https://openalex.org/I110109458"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5101469988"],"corresponding_institution_ids":["https://openalex.org/I110109458"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.14490903,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"11","issue":"03","first_page":"1950032","last_page":"1950032"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9980000257492065,"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":0.9980000257492065,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8465104103088379},{"id":"https://openalex.org/keywords/automorphism-group","display_name":"Automorphism group","score":0.7575329542160034},{"id":"https://openalex.org/keywords/valency","display_name":"Valency","score":0.7459937334060669},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7304340600967407},{"id":"https://openalex.org/keywords/automorphism","display_name":"Automorphism","score":0.730108380317688},{"id":"https://openalex.org/keywords/transitive-relation","display_name":"Transitive relation","score":0.6284294128417969},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5515817403793335},{"id":"https://openalex.org/keywords/graph-automorphism","display_name":"Graph automorphism","score":0.5236313343048096},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.5026516914367676},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.4623265266418457},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4490351676940918},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38699012994766235},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.08104431629180908},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.06141611933708191}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8465104103088379},{"id":"https://openalex.org/C2988750069","wikidata":"https://www.wikidata.org/wiki/Q60790315","display_name":"Automorphism group","level":3,"score":0.7575329542160034},{"id":"https://openalex.org/C139007053","wikidata":"https://www.wikidata.org/wiki/Q1412952","display_name":"Valency","level":2,"score":0.7459937334060669},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7304340600967407},{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.730108380317688},{"id":"https://openalex.org/C191399111","wikidata":"https://www.wikidata.org/wiki/Q64861","display_name":"Transitive relation","level":2,"score":0.6284294128417969},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5515817403793335},{"id":"https://openalex.org/C6049932","wikidata":"https://www.wikidata.org/wiki/Q834981","display_name":"Graph automorphism","level":5,"score":0.5236313343048096},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.5026516914367676},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.4623265266418457},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4490351676940918},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38699012994766235},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.08104431629180908},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.06141611933708191},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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:10.1142/s1793830919500320","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830919500320","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"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":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G151998757","display_name":null,"funder_award_id":"2018KJ229","funder_id":"https://openalex.org/F4320326709","funder_display_name":"Tianjin Municipal Education Commission"}],"funders":[{"id":"https://openalex.org/F4320326709","display_name":"Tianjin Municipal Education Commission","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W113487936","https://openalex.org/W2057712867","https://openalex.org/W2312451615","https://openalex.org/W4205325251"],"related_works":["https://openalex.org/W2237736622","https://openalex.org/W4289596368","https://openalex.org/W4302155387","https://openalex.org/W2545189445","https://openalex.org/W2115024785","https://openalex.org/W2085781584","https://openalex.org/W4392635288","https://openalex.org/W1678473343","https://openalex.org/W2390866431","https://openalex.org/W3020284939"],"abstract_inverted_index":{"A":[0],"graph":[1],"is":[2,47],"called":[3],"half-arc-transitive":[4,54],"if":[5],"its":[6],"full":[7],"automorphism":[8,38],"group":[9],"acts":[10],"transitively":[11],"on":[12,18],"vertices":[13],"and":[14,44],"edges,":[15],"but":[16],"not":[17],"arcs.":[19],"Let":[20],"[Formula:":[21,41,58,63],"see":[22,42,59,64],"text]":[23,60],"be":[24],"a":[25],"prime-cube":[26],"order":[27,57],"group.":[28],"In":[29],"this":[30],"paper,":[31],"we":[32],"determined":[33],"the":[34,37,45,51],"structures":[35],"of":[36,40,53,56],"groups":[39],"text],":[43],"result":[46],"used":[48],"to":[49],"determine":[50],"classification":[52],"graphs":[55],"with":[61],"valency":[62],"text].":[65]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}