{"id":"https://openalex.org/W4392843667","doi":"https://doi.org/10.1142/s0218196724500097","title":"On automorphisms of certain free nilpotent-by-abelian Lie algebras","display_name":"On automorphisms of certain free nilpotent-by-abelian Lie algebras","publication_year":2024,"publication_date":"2024-02-14","ids":{"openalex":"https://openalex.org/W4392843667","doi":"https://doi.org/10.1142/s0218196724500097"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196724500097","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1142/s0218196724500097","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/A5072537455","display_name":"C. E. Kofinas","orcid":"https://orcid.org/0000-0002-4007-6144"},"institutions":[{"id":"https://openalex.org/I98805295","display_name":"University of the Aegean","ror":"https://ror.org/03zsp3p94","country_code":"GR","type":"education","lineage":["https://openalex.org/I98805295"]}],"countries":["GR"],"is_corresponding":true,"raw_author_name":"C.\u00a0E. Kofinas","raw_affiliation_strings":["Department of Mathematics, University of the Aegean, Karlovassi, 832 00 Samos, Greece"],"raw_orcid":"https://orcid.org/0000-0002-4007-6144","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of the Aegean, Karlovassi, 832 00 Samos, Greece","institution_ids":["https://openalex.org/I98805295"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047318416","display_name":"A. I. Papistas","orcid":null},"institutions":[{"id":"https://openalex.org/I21370196","display_name":"Aristotle University of Thessaloniki","ror":"https://ror.org/02j61yw88","country_code":"GR","type":"education","lineage":["https://openalex.org/I21370196"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"A.\u00a0I. Papistas","raw_affiliation_strings":["Department of Mathematics, Aristotle, University of Thessaloniki, 541 24 Thessaloniki, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Aristotle, University of Thessaloniki, 541 24 Thessaloniki, Greece","institution_ids":["https://openalex.org/I21370196"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5072537455"],"corresponding_institution_ids":["https://openalex.org/I98805295"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07310656,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"34","issue":"02","first_page":"251","last_page":"281"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.9984999895095825,"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"}},"topics":[{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.9984999895095825,"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/T10849","display_name":"Finite Group Theory Research","score":0.9909999966621399,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9689000248908997,"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":0.7085639834403992},{"id":"https://openalex.org/keywords/automorphism","display_name":"Automorphism","score":0.6535588502883911},{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.6285585761070251},{"id":"https://openalex.org/keywords/nilpotent","display_name":"Nilpotent","score":0.6127727627754211},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.536008358001709},{"id":"https://openalex.org/keywords/lie-algebra","display_name":"Lie algebra","score":0.4814402461051941},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4178916811943054},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.39512506127357483},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.057841330766677856}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7085639834403992},{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.6535588502883911},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.6285585761070251},{"id":"https://openalex.org/C50555996","wikidata":"https://www.wikidata.org/wiki/Q840023","display_name":"Nilpotent","level":2,"score":0.6127727627754211},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.536008358001709},{"id":"https://openalex.org/C51568863","wikidata":"https://www.wikidata.org/wiki/Q664495","display_name":"Lie algebra","level":2,"score":0.4814402461051941},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4178916811943054},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.39512506127357483},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.057841330766677856}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218196724500097","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1142/s0218196724500097","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":0.4699999988079071,"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1675734966","https://openalex.org/W1675890124","https://openalex.org/W1997885079","https://openalex.org/W2004914158","https://openalex.org/W2014324907","https://openalex.org/W2033652202","https://openalex.org/W2045887880","https://openalex.org/W2055594383","https://openalex.org/W2061156583","https://openalex.org/W2068150396","https://openalex.org/W2078518466","https://openalex.org/W2080185767","https://openalex.org/W2134984950","https://openalex.org/W2140554779","https://openalex.org/W2154862130","https://openalex.org/W2312858861","https://openalex.org/W2402688121","https://openalex.org/W3105516961","https://openalex.org/W4255934170","https://openalex.org/W4388320797"],"related_works":["https://openalex.org/W2792426092","https://openalex.org/W4298307919","https://openalex.org/W4297895527","https://openalex.org/W2805639267","https://openalex.org/W2963448472","https://openalex.org/W2782880970","https://openalex.org/W2469271198","https://openalex.org/W2962961613","https://openalex.org/W61626329","https://openalex.org/W2055199585"],"abstract_inverted_index":{"For":[0],"a":[1,12,43],"positive":[2],"integer":[3],"[Formula:":[4,8,34,52,58],"see":[5,9,35,53,59],"text],":[6],"let":[7],"text]":[10,36,54,60],"be":[11],"free":[13],"(nilpotent":[14],"of":[15,20,25,33,47,51],"class":[16,21],"2)-by-abelian":[17],"and":[18,42],"abelian-by-(nilpotent":[19],"2)":[22],"Lie":[23],"algebra":[24],"rank":[26],"n.":[27],"We":[28],"show":[29],"that":[30],"the":[31,39,64],"subgroup":[32],"generated":[37],"by":[38],"tame":[40],"automorphisms":[41,50],"countably":[44],"infinite":[45],"set":[46],"explicitly":[48],"given":[49],"is":[55],"dense":[56],"in":[57],"with":[61],"respect":[62],"to":[63],"formal":[65],"power":[66],"series":[67],"topology.":[68]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
