{"id":"https://openalex.org/W7133337906","doi":"https://doi.org/10.1137/24m1685353","title":"The Minimal Faithful Permutation Degree of Groups Without Abelian Normal Subgroups","display_name":"The Minimal Faithful Permutation Degree of Groups Without Abelian Normal Subgroups","publication_year":2026,"publication_date":"2026-03-03","ids":{"openalex":"https://openalex.org/W7133337906","doi":"https://doi.org/10.1137/24m1685353"},"language":"en","primary_location":{"id":"doi:10.1137/24m1685353","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1685353","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","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/A5072449840","display_name":"Bireswar Das","orcid":"https://orcid.org/0000-0002-3758-4033"},"institutions":[{"id":"https://openalex.org/I27674431","display_name":"Indian Institute of Technology Gandhinagar","ror":"https://ror.org/0036p5w23","country_code":"IN","type":"education","lineage":["https://openalex.org/I27674431"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Bireswar Das","raw_affiliation_strings":["Indian Institute of Technology Gandhinagar, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Indian Institute of Technology Gandhinagar, India","institution_ids":["https://openalex.org/I27674431"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074233683","display_name":"Dhara Thakkar","orcid":"https://orcid.org/0000-0002-4234-0105"},"institutions":[{"id":"https://openalex.org/I60134161","display_name":"Nagoya University","ror":"https://ror.org/04chrp450","country_code":"JP","type":"education","lineage":["https://openalex.org/I60134161"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Dhara Thakkar","raw_affiliation_strings":["Graduate School of Mathematics, Nagoya Univeristy, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Mathematics, Nagoya Univeristy, Japan","institution_ids":["https://openalex.org/I60134161"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.36942278,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"55","issue":"2","first_page":"307","last_page":"331"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.7240999937057495,"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":0.7240999937057495,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.05950000137090683,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.047600001096725464,"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/degree","display_name":"Degree (music)","score":0.6019999980926514},{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.5753999948501587},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.49810001254081726},{"id":"https://openalex.org/keywords/permutation-group","display_name":"Permutation group","score":0.3905999958515167},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.31709998846054077},{"id":"https://openalex.org/keywords/partial-permutation","display_name":"Partial permutation","score":0.3156999945640564}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7071999907493591},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6919999718666077},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.6019999980926514},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.5753999948501587},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.49810001254081726},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4007999897003174},{"id":"https://openalex.org/C92957085","wikidata":"https://www.wikidata.org/wiki/Q1412905","display_name":"Permutation group","level":3,"score":0.3905999958515167},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.31709998846054077},{"id":"https://openalex.org/C145633696","wikidata":"https://www.wikidata.org/wiki/Q1401935","display_name":"Partial permutation","level":4,"score":0.3156999945640564},{"id":"https://openalex.org/C2778220771","wikidata":"https://www.wikidata.org/wiki/Q1522579","display_name":"Substitution (logic)","level":2,"score":0.26260000467300415},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.2614000141620636},{"id":"https://openalex.org/C77670614","wikidata":"https://www.wikidata.org/wiki/Q212130","display_name":"Cyclic permutation","level":3,"score":0.2531999945640564}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/24m1685353","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1685353","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.4982568919658661}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W618980177","https://openalex.org/W1410927143","https://openalex.org/W1493654001","https://openalex.org/W1573476430","https://openalex.org/W1596185498","https://openalex.org/W1854099214","https://openalex.org/W1966311332","https://openalex.org/W1983764954","https://openalex.org/W2009062736","https://openalex.org/W2031615993","https://openalex.org/W2032949675","https://openalex.org/W2044263342","https://openalex.org/W2047131975","https://openalex.org/W2053652886","https://openalex.org/W2075388334","https://openalex.org/W2081424634","https://openalex.org/W2096418375","https://openalex.org/W2103795164","https://openalex.org/W2110154847","https://openalex.org/W2114856264","https://openalex.org/W2320602836","https://openalex.org/W2331531816","https://openalex.org/W2396266074","https://openalex.org/W2891478563","https://openalex.org/W3104785372","https://openalex.org/W4230191592","https://openalex.org/W4234295943","https://openalex.org/W4239350281","https://openalex.org/W4253687655","https://openalex.org/W4255609347","https://openalex.org/W4386880015","https://openalex.org/W4387168286","https://openalex.org/W4392110082"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2026-03-04T00:00:00"}