{"id":"https://openalex.org/W3043217506","doi":"https://doi.org/10.1142/s0218196721500077","title":"Locally finite p-groups with a left 3-Engel element whose normal closure is not nilpotent","display_name":"Locally finite p-groups with a left 3-Engel element whose normal closure is not nilpotent","publication_year":2020,"publication_date":"2020-09-16","ids":{"openalex":"https://openalex.org/W3043217506","doi":"https://doi.org/10.1142/s0218196721500077","mag":"3043217506"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196721500077","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196721500077","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2007.09882","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029412243","display_name":"Anastasia Hadjievangelou","orcid":null},"institutions":[{"id":"https://openalex.org/I51601045","display_name":"University of Bath","ror":"https://ror.org/002h8g185","country_code":"GB","type":"education","lineage":["https://openalex.org/I51601045"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Anastasia Hadjievangelou","raw_affiliation_strings":["Department of Mathematical Sciences, University of Bath Claverton Down, Bath BA2 7AY, UK","Department of Mathematical Sciences , University of Bath , Claverton Down, Bath BA2 7AY, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Bath Claverton Down, Bath BA2 7AY, UK","institution_ids":["https://openalex.org/I51601045"]},{"raw_affiliation_string":"Department of Mathematical Sciences , University of Bath , Claverton Down, Bath BA2 7AY, UK","institution_ids":["https://openalex.org/I51601045"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061704102","display_name":"Marialaura Noce","orcid":"https://orcid.org/0000-0002-3729-8598"},"institutions":[{"id":"https://openalex.org/I51601045","display_name":"University of Bath","ror":"https://ror.org/002h8g185","country_code":"GB","type":"education","lineage":["https://openalex.org/I51601045"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Marialaura Noce","raw_affiliation_strings":["Department of Mathematical Sciences, University of Bath Claverton Down, Bath BA2 7AY, UK","Department of Mathematical Sciences , University of Bath , Claverton Down, Bath BA2 7AY, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Bath Claverton Down, Bath BA2 7AY, UK","institution_ids":["https://openalex.org/I51601045"]},{"raw_affiliation_string":"Department of Mathematical Sciences , University of Bath , Claverton Down, Bath BA2 7AY, UK","institution_ids":["https://openalex.org/I51601045"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071341425","display_name":"Gunnar Traustason","orcid":null},"institutions":[{"id":"https://openalex.org/I51601045","display_name":"University of Bath","ror":"https://ror.org/002h8g185","country_code":"GB","type":"education","lineage":["https://openalex.org/I51601045"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Gunnar Traustason","raw_affiliation_strings":["Department of Mathematical Sciences, University of Bath Claverton Down, Bath BA2 7AY, UK","Department of Mathematical Sciences , University of Bath , Claverton Down, Bath BA2 7AY, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Bath Claverton Down, Bath BA2 7AY, UK","institution_ids":["https://openalex.org/I51601045"]},{"raw_affiliation_string":"Department of Mathematical Sciences , University of Bath , Claverton Down, Bath BA2 7AY, UK","institution_ids":["https://openalex.org/I51601045"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5029412243"],"corresponding_institution_ids":["https://openalex.org/I51601045"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.23121921,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"31","issue":"01","first_page":"135","last_page":"160"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9983000159263611,"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":0.9983000159263611,"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9132000207901001,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/nilpotent","display_name":"Nilpotent","score":0.6815831661224365},{"id":"https://openalex.org/keywords/closure","display_name":"Closure (psychology)","score":0.6773245930671692},{"id":"https://openalex.org/keywords/locally-nilpotent","display_name":"Locally nilpotent","score":0.6607444882392883},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6369207501411438},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.5670536756515503},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5665493011474609},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5100253224372864},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38101398944854736},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3418530225753784},{"id":"https://openalex.org/keywords/nilpotent-group","display_name":"Nilpotent group","score":0.17699629068374634},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.1344510316848755},{"id":"https://openalex.org/keywords/political-science","display_name":"Political science","score":0.12938347458839417},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08392027020454407},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.05795136094093323}],"concepts":[{"id":"https://openalex.org/C50555996","wikidata":"https://www.wikidata.org/wiki/Q840023","display_name":"Nilpotent","level":2,"score":0.6815831661224365},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.6773245930671692},{"id":"https://openalex.org/C2776456406","wikidata":"https://www.wikidata.org/wiki/Q6664692","display_name":"Locally nilpotent","level":4,"score":0.6607444882392883},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6369207501411438},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.5670536756515503},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5665493011474609},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5100253224372864},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38101398944854736},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3418530225753784},{"id":"https://openalex.org/C206219070","wikidata":"https://www.wikidata.org/wiki/Q1755242","display_name":"Nilpotent group","level":3,"score":0.17699629068374634},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.1344510316848755},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.12938347458839417},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08392027020454407},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.05795136094093323}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1142/s0218196721500077","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196721500077","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"},{"id":"pmh:oai:arXiv.org:2007.09882","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2007.09882","pdf_url":"https://arxiv.org/pdf/2007.09882","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"mag:3043217506","is_oa":true,"landing_page_url":"http://arxiv.org/pdf/2007.09882.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.2007.09882","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2007.09882","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2007.09882","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2007.09882","pdf_url":"https://arxiv.org/pdf/2007.09882","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4466011868","display_name":null,"funder_award_id":"16523160","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G7664395375","display_name":null,"funder_award_id":"EP/P02310X/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3043217506.pdf","grobid_xml":"https://content.openalex.org/works/W3043217506.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W1526072996","https://openalex.org/W1970594752","https://openalex.org/W1971372791","https://openalex.org/W1978646660","https://openalex.org/W2030128136","https://openalex.org/W2047792279","https://openalex.org/W2117933272","https://openalex.org/W2800125712","https://openalex.org/W2892548912","https://openalex.org/W2963861343"],"related_works":["https://openalex.org/W2953234326","https://openalex.org/W2202028248","https://openalex.org/W2784976882","https://openalex.org/W2183939873","https://openalex.org/W2559687994","https://openalex.org/W3098989938","https://openalex.org/W2530801108","https://openalex.org/W2963336138","https://openalex.org/W2162497078","https://openalex.org/W2354590984","https://openalex.org/W2150478129","https://openalex.org/W2119698534","https://openalex.org/W2152428589","https://openalex.org/W2756862467","https://openalex.org/W2050089208","https://openalex.org/W2011609747","https://openalex.org/W2020338546","https://openalex.org/W2963364803","https://openalex.org/W3006733683","https://openalex.org/W2272415952"],"abstract_inverted_index":{"For":[0],"any":[1],"odd":[2],"prime":[3],"[Formula:":[4,15,18,26,30],"see":[5,16,19,27,31],"text],":[6],"we":[7],"give":[8],"an":[9],"example":[10],"of":[11],"a":[12,22],"locally":[13],"finite":[14],"text]-group":[17],"text]":[20,28,32],"containing":[21],"left":[23],"3-Engel":[24],"element":[25],"where":[29],"is":[33],"not":[34],"nilpotent.":[35]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2022-07-24T00:00:00"}