{"id":"https://openalex.org/W3202136970","doi":"https://doi.org/10.1142/s0218196722500473","title":"Freeness of Sch\u00fctzenberger groups of primitive substitutions","display_name":"Freeness of Sch\u00fctzenberger groups of primitive substitutions","publication_year":2022,"publication_date":"2022-04-28","ids":{"openalex":"https://openalex.org/W3202136970","doi":"https://doi.org/10.1142/s0218196722500473","mag":"3202136970"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196722500473","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196722500473","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2109.11957","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001091827","display_name":"Herman Goulet-Ouellet","orcid":"https://orcid.org/0000-0003-3445-8469"},"institutions":[{"id":"https://openalex.org/I76903346","display_name":"University of Coimbra","ror":"https://ror.org/04z8k9a98","country_code":"PT","type":"education","lineage":["https://openalex.org/I76903346"]}],"countries":["PT"],"is_corresponding":true,"raw_author_name":"Herman Goulet-Ouellet","raw_affiliation_strings":["University of Coimbra, CMUC, Department of Mathematics, Apartado 3008, EC Santa Cruz, 3001-501 Coimbra, Portugal"],"affiliations":[{"raw_affiliation_string":"University of Coimbra, CMUC, Department of Mathematics, Apartado 3008, EC Santa Cruz, 3001-501 Coimbra, Portugal","institution_ids":["https://openalex.org/I76903346"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5001091827"],"corresponding_institution_ids":["https://openalex.org/I76903346"],"apc_list":null,"apc_paid":null,"fwci":0.3006,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.55741601,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"32","issue":"06","first_page":"1101","last_page":"1123"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11567","display_name":"semigroups and automata theory","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.993399977684021,"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"}},{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9484999775886536,"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":0.8658867478370667},{"id":"https://openalex.org/keywords/counterexample","display_name":"Counterexample","score":0.755094051361084},{"id":"https://openalex.org/keywords/invertible-matrix","display_name":"Invertible matrix","score":0.7229300737380981},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.6227295398712158},{"id":"https://openalex.org/keywords/substitution","display_name":"Substitution (logic)","score":0.5950176119804382},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4803817868232727},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.4725898206233978},{"id":"https://openalex.org/keywords/simple-group","display_name":"Simple group","score":0.45448848605155945},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3104773163795471},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06671828031539917}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8658867478370667},{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.755094051361084},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.7229300737380981},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.6227295398712158},{"id":"https://openalex.org/C2778220771","wikidata":"https://www.wikidata.org/wiki/Q1522579","display_name":"Substitution (logic)","level":2,"score":0.5950176119804382},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4803817868232727},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.4725898206233978},{"id":"https://openalex.org/C5383885","wikidata":"https://www.wikidata.org/wiki/Q571124","display_name":"Simple group","level":3,"score":0.45448848605155945},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3104773163795471},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06671828031539917},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218196722500473","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196722500473","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:2109.11957","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2109.11957","pdf_url":"https://arxiv.org/pdf/2109.11957","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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2109.11957","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2109.11957","pdf_url":"https://arxiv.org/pdf/2109.11957","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":[{"score":0.5,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G8367123964","display_name":null,"funder_award_id":"UIDB/00144/2020","funder_id":"https://openalex.org/F4320335191","funder_display_name":"Centro de Matem\u00e1tica Universidade do Porto"}],"funders":[{"id":"https://openalex.org/F4320335191","display_name":"Centro de Matem\u00e1tica Universidade do Porto","ror":"https://ror.org/043pwc612"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W584208200","https://openalex.org/W1531958013","https://openalex.org/W1538608183","https://openalex.org/W1626859522","https://openalex.org/W1731851992","https://openalex.org/W1968852331","https://openalex.org/W1969035900","https://openalex.org/W1971955757","https://openalex.org/W2008023303","https://openalex.org/W2014844984","https://openalex.org/W2028004159","https://openalex.org/W2033362178","https://openalex.org/W2037378609","https://openalex.org/W2041269336","https://openalex.org/W2052869910","https://openalex.org/W2055592177","https://openalex.org/W2107622588","https://openalex.org/W2126243304","https://openalex.org/W2153126460","https://openalex.org/W2166698119","https://openalex.org/W2167995006","https://openalex.org/W2260039440","https://openalex.org/W2953325968","https://openalex.org/W2963707702","https://openalex.org/W2963731267","https://openalex.org/W3084972717","https://openalex.org/W3098990339","https://openalex.org/W3101657884","https://openalex.org/W4239878918","https://openalex.org/W4244007815","https://openalex.org/W4249509651"],"related_works":["https://openalex.org/W2349952486","https://openalex.org/W1489260687","https://openalex.org/W3204670144","https://openalex.org/W2163101548","https://openalex.org/W1988934358","https://openalex.org/W2587222766","https://openalex.org/W1620255917","https://openalex.org/W589927635","https://openalex.org/W4233933987","https://openalex.org/W2949919460"],"abstract_inverted_index":{"Our":[0,15],"main":[1],"goal":[2],"is":[3,26],"to":[4,28,43,50],"study":[5],"the":[6],"freeness":[7,20,60],"of":[8,46,61],"Sch\u00fctzenberger":[9,37,62],"groups":[10],"defined":[11],"by":[12],"primitive":[13,31],"substitutions.":[14],"findings":[16],"include":[17],"a":[18,30,41,44,64],"simple":[19],"test":[21],"for":[22],"these":[23],"groups,":[24,63],"which":[25,66],"applied":[27],"exhibit":[29],"invertible":[32],"substitution":[33],"with":[34],"corresponding":[35],"non-free":[36],"group.":[38],"This":[39],"constitutes":[40],"counterexample":[42],"result":[45],"Almeida":[47],"dating":[48],"back":[49],"2005.":[51],"We":[52],"also":[53],"give":[54],"some":[55],"early":[56],"results":[57],"concerning":[58],"relative":[59],"question":[65],"remains":[67],"largely":[68],"unexplored.":[69]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
