{"id":"https://openalex.org/W1607090497","doi":"https://doi.org/10.82444/warw.33590827","title":"Cyclic quasinormal subgroups of arbitrary groups","display_name":"Cyclic quasinormal subgroups of arbitrary groups","publication_year":2026,"publication_date":"2026-09-11","ids":{"openalex":"https://openalex.org/W1607090497","doi":"https://doi.org/10.82444/warw.33590827","mag":"1607090497"},"language":"en","primary_location":{"id":"pmh:oai:numdam.org:RSMUP_2006__115__165_0","doi":null,"is_oa":false,"landing_page_url":"https://www.numdam.org/item/RSMUP_2006__115__165_0/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402264","display_name":"French digital mathematics library (Numdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405278365","host_organization_name":"MathDoc","host_organization_lineage":["https://openalex.org/I4405278365"],"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":"Text"},"volume":null,"type":"article","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.82444/warw.33590827","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076344392","display_name":"S. E. Stonehewer","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Stewart E. Stonehewer","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5070880833","display_name":"Giovanni Zacher","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Giovanni Zacher","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.00028019,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":96},"biblio":{"volume":"115","issue":null,"first_page":"165","last_page":"187"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9984999895095825,"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":0.9984999895095825,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.00019999999494757503,"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"}},{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.00019999999494757503,"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/infinite-groups","display_name":"infinite groups","score":0.8870000243186951},{"id":"https://openalex.org/keywords/structure-theorem","display_name":"structure theorem","score":0.8209999799728394}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6840841174125671},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5795819163322449},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.42973434925079346},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.33712852001190186},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1570415198802948},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.04508069157600403}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:numdam.org:RSMUP_2006__115__165_0","doi":null,"is_oa":false,"landing_page_url":"https://www.numdam.org/item/RSMUP_2006__115__165_0/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402264","display_name":"French digital mathematics library (Numdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405278365","host_organization_name":"MathDoc","host_organization_lineage":["https://openalex.org/I4405278365"],"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":"Text"},{"id":"doi:10.82444/warw.33590827","doi":"https://doi.org/10.82444/warw.33590827","is_oa":true,"landing_page_url":"https://doi.org/10.82444/warw.33590827","pdf_url":null,"source":{"id":"https://openalex.org/S7407060609","display_name":"University of Warwick","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"JournalArticle"},{"id":"mag:1607090497","doi":null,"is_oa":false,"landing_page_url":"http://wrap.warwick.ac.uk/id/eprint/33288","pdf_url":null,"source":{"id":"https://openalex.org/S195149062","display_name":"Rendiconti del Seminario Matematico della Universit\u00e0 di Padova","issn_l":"0041-8994","issn":["0041-8994","0373-319X","2240-2926"],"is_oa":false,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","dongbi-c","jufo-1","norway-1","oarl","poland-40","russia-white-list-4"],"host_organization":"https://openalex.org/P4310317562","host_organization_name":"University of Padua","host_organization_lineage":["https://openalex.org/P4310317562"],"host_organization_lineage_names":["University of Padua"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Rendiconti del Seminario Matematico della Universit\u00e0 di Padova","raw_type":null}],"best_oa_location":{"id":"doi:10.82444/warw.33590827","doi":"https://doi.org/10.82444/warw.33590827","is_oa":true,"landing_page_url":"https://doi.org/10.82444/warw.33590827","pdf_url":null,"source":{"id":"https://openalex.org/S7407060609","display_name":"University of Warwick","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"JournalArticle"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2013496493","https://openalex.org/W3209654999","https://openalex.org/W2003993556","https://openalex.org/W2035271342","https://openalex.org/W1972323997","https://openalex.org/W2036978678","https://openalex.org/W2088610568","https://openalex.org/W146901518","https://openalex.org/W7056760544","https://openalex.org/W2032734402"],"abstract_inverted_index":{"In":[0],"recent":[1],"years":[2],"several":[3],"papers":[4],"have":[5,21],"appeared":[6],"showing":[7],"how":[8],"cyclic":[9,46,59],"quasinormal":[10,47,60],"subgroups":[11,48],"are":[12],"embedded":[13],"in":[14],"finite":[15,45],"groups":[16],"and":[17],"many":[18],"structure":[19],"theorems":[20,41],"been":[22],"proved.":[23],"The":[24],"purpose":[25],"of":[26,39,49],"the":[27,63],"present":[28],"work":[29],"is":[30],"twofold.":[31],"First":[32],"we":[33,53],"show":[34],"that,":[35],"without":[36],"exception,":[37],"all":[38],"these":[40],"remain":[42],"valid":[43],"for":[44,57],"infinite":[50,58],"groups.":[51],"Secondly":[52],"obtain":[54],"analogous":[55],"results":[56],"subgroups,":[61],"where":[62],"statements":[64],"turn":[65],"out":[66],"to":[67],"be":[68],"even":[69],"stronger.":[70]},"counts_by_year":[{"year":2014,"cited_by_count":2}],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2016-06-24T00:00:00"}
