{"id":"https://openalex.org/W4390795882","doi":"https://doi.org/10.1142/s0218196724500036","title":"On computing the closures of solvable permutation groups","display_name":"On computing the closures of solvable permutation groups","publication_year":2024,"publication_date":"2024-01-12","ids":{"openalex":"https://openalex.org/W4390795882","doi":"https://doi.org/10.1142/s0218196724500036"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196724500036","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196724500036","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/A5036540193","display_name":"Ilia Ponomarenko","orcid":"https://orcid.org/0000-0003-2444-731X"},"institutions":[{"id":"https://openalex.org/I2801160905","display_name":"Steklov Mathematical Institute","ror":"https://ror.org/03zeg8w71","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I2801160905","https://openalex.org/I4210124601"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Ilia Ponomarenko","raw_affiliation_strings":["St. Petersburg Department of Steklov Mathematical Institute, 27 Fontanka, St. Petersburg 191023, Russia"],"raw_orcid":"https://orcid.org/0000-0003-2444-731X","affiliations":[{"raw_affiliation_string":"St. Petersburg Department of Steklov Mathematical Institute, 27 Fontanka, St. Petersburg 191023, Russia","institution_ids":["https://openalex.org/I2801160905"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069598473","display_name":"A. V. Vasil\u2019ev","orcid":"https://orcid.org/0000-0002-6498-0138"},"institutions":[{"id":"https://openalex.org/I4210096862","display_name":"Sobolev Institute of Mathematics","ror":"https://ror.org/00shc0s02","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I1313323035","https://openalex.org/I4210096862","https://openalex.org/I4210124601","https://openalex.org/I4210127387"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Andrey V. Vasil\u2019ev","raw_affiliation_strings":["Sobolev Institute of Mathematics, 4 Academic Koptyug Avenue, Novosibirsk 630090, Russia"],"raw_orcid":"https://orcid.org/0000-0002-6498-0138","affiliations":[{"raw_affiliation_string":"Sobolev Institute of Mathematics, 4 Academic Koptyug Avenue, Novosibirsk 630090, Russia","institution_ids":["https://openalex.org/I4210096862"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5069598473"],"corresponding_institution_ids":["https://openalex.org/I4210096862"],"apc_list":null,"apc_paid":null,"fwci":1.2852,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.66191446,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"34","issue":"01","first_page":"137","last_page":"145"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.998199999332428,"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":0.998199999332428,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9952999949455261,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9071829319000244},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.5791979432106018},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.512941300868988},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4054560959339142},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3824542760848999},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.30814796686172485}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9071829319000244},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.5791979432106018},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.512941300868988},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4054560959339142},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3824542760848999},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.30814796686172485},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218196724500036","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196724500036","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W132983735","https://openalex.org/W618980177","https://openalex.org/W1410927143","https://openalex.org/W1459724970","https://openalex.org/W1545113110","https://openalex.org/W1973322735","https://openalex.org/W1982883781","https://openalex.org/W2008730668","https://openalex.org/W2044883905","https://openalex.org/W2068093953","https://openalex.org/W2081256177","https://openalex.org/W2144464157","https://openalex.org/W2493574641","https://openalex.org/W2964650242","https://openalex.org/W2995018598","https://openalex.org/W3001143971","https://openalex.org/W3116258519","https://openalex.org/W3200045799","https://openalex.org/W3203352423","https://openalex.org/W3210794432","https://openalex.org/W4205872934"],"related_works":["https://openalex.org/W2980963558","https://openalex.org/W1882246857","https://openalex.org/W3103304230","https://openalex.org/W2185360082","https://openalex.org/W1992365905","https://openalex.org/W4287664878","https://openalex.org/W3212023493","https://openalex.org/W1991411408","https://openalex.org/W2066456778","https://openalex.org/W4288278856"],"abstract_inverted_index":{"Let":[0],"[Formula:":[1,27],"see":[2,28],"text]":[3],"be":[4,23],"an":[5],"integer.":[6],"It":[7],"is":[8],"proved":[9],"that":[10],"the":[11],"m-closure":[12],"of":[13,19],"a":[14],"given":[15],"solvable":[16],"permutation":[17],"group":[18],"degree":[20],"n":[21],"can":[22],"constructed":[24],"in":[25],"time":[26],"text].":[29]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
