{"id":"https://openalex.org/W2908955509","doi":"https://doi.org/10.1142/s0218196719500231","title":"Minimal non-\ud835\udcac\ud835\udcae-groups","display_name":"Minimal non-\ud835\udcac\ud835\udcae-groups","publication_year":2019,"publication_date":"2019-01-15","ids":{"openalex":"https://openalex.org/W2908955509","doi":"https://doi.org/10.1142/s0218196719500231","mag":"2908955509"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196719500231","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196719500231","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"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":"International Journal of Algebra and Computation","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/A5108577246","display_name":"Huaguo Shi","orcid":null},"institutions":[{"id":"https://openalex.org/I4210087590","display_name":"Huzhou Vocational and Technical College","ror":"https://ror.org/002hfez23","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210087590"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huaguo Shi","raw_affiliation_strings":["Department of Applied Mathematics and Economics, Sichuan Vocational and Technical College, Suining 629000, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Economics, Sichuan Vocational and Technical College, Suining 629000, P. R. China","institution_ids":["https://openalex.org/I4210087590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073346163","display_name":"Zhangjia Han","orcid":null},"institutions":[{"id":"https://openalex.org/I24201400","display_name":"Chengdu University of Information Technology","ror":"https://ror.org/01yxwrh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I24201400"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhangjia Han","raw_affiliation_strings":["School of Applied Mathematics Chengdu University, of Information Technology, Chengdu 610225, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Applied Mathematics Chengdu University, of Information Technology, Chengdu 610225, P. R. China","institution_ids":["https://openalex.org/I24201400"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016960676","display_name":"Heng Lv","orcid":"https://orcid.org/0000-0003-2103-4915"},"institutions":[{"id":"https://openalex.org/I142108993","display_name":"Southwest University","ror":"https://ror.org/01kj4z117","country_code":"CN","type":"education","lineage":["https://openalex.org/I142108993"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Heng Lv","raw_affiliation_strings":["School of Mathematics and Statistics, Southwest University, Chongqing 400715, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Southwest University, Chongqing 400715, P. R. China","institution_ids":["https://openalex.org/I142108993"]}]},{"author_position":"last","author":{"id":null,"display_name":"Longhui Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I4210087590","display_name":"Huzhou Vocational and Technical College","ror":"https://ror.org/002hfez23","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210087590"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Longhui Zhang","raw_affiliation_strings":["Journal Editorial Office, Sichuan Vocational and Technical College, Suining , P. R. China","Journal Editorial Office, Sichuan Vocational and Technical College, Suining 629000, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Journal Editorial Office, Sichuan Vocational and Technical College, Suining , P. R. China","institution_ids":["https://openalex.org/I4210087590"]},{"raw_affiliation_string":"Journal Editorial Office, Sichuan Vocational and Technical College, Suining 629000, P. R. China","institution_ids":["https://openalex.org/I4210087590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5073346163"],"corresponding_institution_ids":["https://openalex.org/I24201400"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10334928,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"29","issue":"04","first_page":"713","last_page":"722"},"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.9983000159263611,"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"}},{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9937000274658203,"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":0.8672548532485962},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.5398326516151428},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.47224849462509155},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.33842188119888306},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3178940713405609}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8672548532485962},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.5398326516151428},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.47224849462509155},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.33842188119888306},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3178940713405609},{"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218196719500231","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196719500231","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"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":"International Journal of Algebra and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5099999904632568,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1964690408","https://openalex.org/W1968734218","https://openalex.org/W1974436759","https://openalex.org/W1986980833","https://openalex.org/W2043225560","https://openalex.org/W2050431024","https://openalex.org/W2063762914","https://openalex.org/W2065621423","https://openalex.org/W2125615295","https://openalex.org/W2316300106","https://openalex.org/W2494541182"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":{"A":[0],"finite":[1],"group":[2],"[Formula:":[3,9,17,26,44],"see":[4,10,18,27,37,45],"text]":[5,19],"is":[6,20],"called":[7],"a":[8],"text]-group":[11],"if":[12],"every":[13],"proper":[14,40],"subgroup":[15],"of":[16],"either":[21],"quasi-normal":[22],"or":[23],"self-normal":[24],"in":[25],"text].":[28],"In":[29],"this":[30],"paper,":[31],"the":[32,35],"authors":[33],"classify":[34],"non-[Formula:":[36],"text]-groups":[38],"whose":[39],"subgroups":[41],"are":[42],"all":[43],"text]-groups.":[46]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}