{"id":"https://openalex.org/W7083183550","doi":"https://doi.org/10.1007/978-3-032-04700-7_26","title":"Complexity of\u00a0Minimal Faithful Permutation Degree for\u00a0Fitting-Free Groups","display_name":"Complexity of\u00a0Minimal Faithful Permutation Degree for\u00a0Fitting-Free Groups","publication_year":2025,"publication_date":"2025-09-11","ids":{"openalex":"https://openalex.org/W7083183550","doi":"https://doi.org/10.1007/978-3-032-04700-7_26"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-032-04700-7_26","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-032-04700-7_26","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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":null,"display_name":"Michael Levet","orcid":null},"institutions":[{"id":"https://openalex.org/I204593131","display_name":"College of Charleston","ror":"https://ror.org/00390t168","country_code":"US","type":"education","lineage":["https://openalex.org/I204593131"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Michael Levet","raw_affiliation_strings":["College of Charleston, Charleston, SC, 29492, USA"],"affiliations":[{"raw_affiliation_string":"College of Charleston, Charleston, SC, 29492, USA","institution_ids":["https://openalex.org/I204593131"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Pranjal Srivastava","orcid":null},"institutions":[{"id":"https://openalex.org/I4210100893","display_name":"Indian Institute of Information Technology Vadodara","ror":"https://ror.org/0163rt176","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210100893"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Pranjal Srivastava","raw_affiliation_strings":["Indian Institute of Information Technology Vadodara-ICD, Diu, India"],"affiliations":[{"raw_affiliation_string":"Indian Institute of Information Technology Vadodara-ICD, Diu, India","institution_ids":["https://openalex.org/I4210100893"]}]},{"author_position":"last","author":{"id":null,"display_name":"Dhara Thakkar","orcid":null},"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 University, Nagoya, Japan"],"affiliations":[{"raw_affiliation_string":"Graduate School of Mathematics, Nagoya University, Nagoya, Japan","institution_ids":["https://openalex.org/I60134161"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I204593131"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.772479,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"350","last_page":"361"},"is_retracted":false,"is_paratext":false,"is_xpac":true,"primary_topic":{"id":"https://openalex.org/T12157","display_name":"Geochemistry and Geologic Mapping","score":0.6862000226974487,"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"}},"topics":[{"id":"https://openalex.org/T12157","display_name":"Geochemistry and Geologic Mapping","score":0.6862000226974487,"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"}},{"id":"https://openalex.org/T13067","display_name":"Geological Modeling and Analysis","score":0.028999999165534973,"subfield":{"id":"https://openalex.org/subfields/1906","display_name":"Geochemistry and Petrology"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T14311","display_name":"Electrical and Electromagnetic Research","score":0.01720000058412552,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/partial-permutation","display_name":"Partial permutation","score":0.7067999839782715},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.7023000121116638},{"id":"https://openalex.org/keywords/cyclic-permutation","display_name":"Cyclic permutation","score":0.6980999708175659},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.6909000277519226},{"id":"https://openalex.org/keywords/bit-reversal-permutation","display_name":"Bit-reversal permutation","score":0.6862999796867371},{"id":"https://openalex.org/keywords/permutation-group","display_name":"Permutation group","score":0.5888000130653381},{"id":"https://openalex.org/keywords/permutation-graph","display_name":"Permutation graph","score":0.5738999843597412},{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.539900004863739},{"id":"https://openalex.org/keywords/pseudorandom-permutation","display_name":"Pseudorandom permutation","score":0.4839000105857849}],"concepts":[{"id":"https://openalex.org/C145633696","wikidata":"https://www.wikidata.org/wiki/Q1401935","display_name":"Partial permutation","level":4,"score":0.7067999839782715},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.7023000121116638},{"id":"https://openalex.org/C77670614","wikidata":"https://www.wikidata.org/wiki/Q212130","display_name":"Cyclic permutation","level":3,"score":0.6980999708175659},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.6909000277519226},{"id":"https://openalex.org/C175473596","wikidata":"https://www.wikidata.org/wiki/Q4918660","display_name":"Bit-reversal permutation","level":4,"score":0.6862999796867371},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6233000159263611},{"id":"https://openalex.org/C92957085","wikidata":"https://www.wikidata.org/wiki/Q1412905","display_name":"Permutation group","level":3,"score":0.5888000130653381},{"id":"https://openalex.org/C68965932","wikidata":"https://www.wikidata.org/wiki/Q7169369","display_name":"Permutation graph","level":3,"score":0.5738999843597412},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5511999726295471},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.539900004863739},{"id":"https://openalex.org/C25818197","wikidata":"https://www.wikidata.org/wiki/Q7255477","display_name":"Pseudorandom permutation","level":4,"score":0.4839000105857849},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.48170000314712524},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4519999921321869},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.45159998536109924},{"id":"https://openalex.org/C20295870","wikidata":"https://www.wikidata.org/wiki/Q5532500","display_name":"Generalized permutation matrix","level":4,"score":0.4350000023841858},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.41609999537467957},{"id":"https://openalex.org/C84140500","wikidata":"https://www.wikidata.org/wiki/Q851512","display_name":"Permutation matrix","level":3,"score":0.3968000113964081},{"id":"https://openalex.org/C128622974","wikidata":"https://www.wikidata.org/wiki/Q849512","display_name":"Symmetric group","level":2,"score":0.3840000033378601},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37940001487731934},{"id":"https://openalex.org/C200985842","wikidata":"https://www.wikidata.org/wiki/Q3375503","display_name":"Random permutation","level":3,"score":0.3582000136375427},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.34529998898506165},{"id":"https://openalex.org/C2993101906","wikidata":"https://www.wikidata.org/wiki/Q23768","display_name":"Las vegas","level":3,"score":0.34139999747276306},{"id":"https://openalex.org/C38298161","wikidata":"https://www.wikidata.org/wiki/Q1207920","display_name":"Derangement","level":2,"score":0.3402999937534332},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.33480000495910645},{"id":"https://openalex.org/C134026603","wikidata":"https://www.wikidata.org/wiki/Q846354","display_name":"P","level":3,"score":0.3190000057220459},{"id":"https://openalex.org/C106816508","wikidata":"https://www.wikidata.org/wiki/Q7243579","display_name":"Primitive permutation group","level":4,"score":0.2906000018119812},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.2782999873161316},{"id":"https://openalex.org/C64137656","wikidata":"https://www.wikidata.org/wiki/Q1064405","display_name":"Parity of a permutation","level":4,"score":0.25839999318122864}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-032-04700-7_26","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-032-04700-7_26","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W567605243","https://openalex.org/W618980177","https://openalex.org/W1493654001","https://openalex.org/W1573476430","https://openalex.org/W1854099214","https://openalex.org/W1966311332","https://openalex.org/W1968357081","https://openalex.org/W1969754062","https://openalex.org/W1981769902","https://openalex.org/W2044443711","https://openalex.org/W2052666238","https://openalex.org/W2075388334","https://openalex.org/W2091293447","https://openalex.org/W2093761538","https://openalex.org/W2096418375","https://openalex.org/W2320602836","https://openalex.org/W2610884651","https://openalex.org/W2891478563","https://openalex.org/W4206021157","https://openalex.org/W4230191592","https://openalex.org/W4234295943","https://openalex.org/W4239350281","https://openalex.org/W4250917739","https://openalex.org/W4253687655","https://openalex.org/W4386880015","https://openalex.org/W4387168286","https://openalex.org/W4399522042"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-12-21T23:12:01.093139","created_date":"2025-10-10T00:00:00"}