{"id":"https://openalex.org/W3045528637","doi":"https://doi.org/10.1142/s0218196722500217","title":"Holonomy theorem for finite semigroups","display_name":"Holonomy theorem for finite semigroups","publication_year":2022,"publication_date":"2022-01-31","ids":{"openalex":"https://openalex.org/W3045528637","doi":"https://doi.org/10.1142/s0218196722500217","mag":"3045528637"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196722500217","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196722500217","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2007.15552","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110160484","display_name":"John Rhodes","orcid":null},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"John Rhodes","raw_affiliation_strings":["Department of Mathematics, University of California, Berkeley, CA 94720, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California, Berkeley, CA 94720, USA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076081415","display_name":"Anne Schilling","orcid":"https://orcid.org/0000-0002-2601-7340"},"institutions":[{"id":"https://openalex.org/I84218800","display_name":"University of California, Davis","ror":"https://ror.org/05rrcem69","country_code":"US","type":"education","lineage":["https://openalex.org/I84218800"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Anne Schilling","raw_affiliation_strings":["Department of Mathematics, UC Davis, One Shields Ave., Davis, CA 95616-8633, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, UC Davis, One Shields Ave., Davis, CA 95616-8633, USA","institution_ids":["https://openalex.org/I84218800"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100363300","display_name":"Pedro V. Silva","orcid":"https://orcid.org/0000-0003-1819-7289"},"institutions":[{"id":"https://openalex.org/I182534213","display_name":"Universidade do Porto","ror":"https://ror.org/043pwc612","country_code":"PT","type":"education","lineage":["https://openalex.org/I182534213"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Pedro V. Silva","raw_affiliation_strings":["Centro de Matem\u00e1tica, Faculdade de Ci\u00eancias, Universidade do Porto, R. Campo Alegre 687, 4169-007 Porto, Portugal"],"affiliations":[{"raw_affiliation_string":"Centro de Matem\u00e1tica, Faculdade de Ci\u00eancias, Universidade do Porto, R. Campo Alegre 687, 4169-007 Porto, Portugal","institution_ids":["https://openalex.org/I182534213"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5110160484"],"corresponding_institution_ids":["https://openalex.org/I95457486"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.0084817,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"32","issue":"03","first_page":"443","last_page":"460"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9947999715805054,"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":0.9947999715805054,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9884999990463257,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9850000143051147,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/holonomy","display_name":"Holonomy","score":0.9731971621513367},{"id":"https://openalex.org/keywords/semigroup","display_name":"Semigroup","score":0.7579851150512695},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.6567242741584778},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6529278755187988},{"id":"https://openalex.org/keywords/action","display_name":"Action (physics)","score":0.5595742464065552},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4893288016319275},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.43914031982421875},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.340688019990921},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32194823026657104},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14596548676490784},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.08962979912757874}],"concepts":[{"id":"https://openalex.org/C32518243","wikidata":"https://www.wikidata.org/wiki/Q907926","display_name":"Holonomy","level":2,"score":0.9731971621513367},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.7579851150512695},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.6567242741584778},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6529278755187988},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.5595742464065552},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4893288016319275},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.43914031982421875},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.340688019990921},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32194823026657104},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14596548676490784},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.08962979912757874},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1142/s0218196722500217","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196722500217","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:2007.15552","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2007.15552","pdf_url":"https://arxiv.org/pdf/2007.15552","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"},{"id":"pmh:oai:escholarship.org:ark:/13030/qt0sm4c2dz","is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/0sm4c2dz","pdf_url":"https://escholarship.org/uc/item/0sm4c2dz","source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"},{"id":"mag:3045528637","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2007.15552.pdf","pdf_url":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:escholarship.org:ark:/13030/qt880988n9","is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/880988n9","pdf_url":null,"source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nd","license_id":"https://openalex.org/licenses/cc-by-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Algebra and Computation, vol 32, iss 03","raw_type":"article"},{"id":"doi:10.48550/arxiv.2007.15552","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2007.15552","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2007.15552","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2007.15552","pdf_url":"https://arxiv.org/pdf/2007.15552","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1518573520","https://openalex.org/W1833412956","https://openalex.org/W2033900415","https://openalex.org/W2036360108","https://openalex.org/W2090194484","https://openalex.org/W2095343591","https://openalex.org/W2114760002","https://openalex.org/W2160242862","https://openalex.org/W2161682201","https://openalex.org/W2239243856","https://openalex.org/W2335829814","https://openalex.org/W2783392704","https://openalex.org/W2962769320","https://openalex.org/W3099455530"],"related_works":["https://openalex.org/W1009782508","https://openalex.org/W626536320","https://openalex.org/W2015733584","https://openalex.org/W1025907065","https://openalex.org/W1593682415","https://openalex.org/W1982454629","https://openalex.org/W2364905853","https://openalex.org/W2501721043","https://openalex.org/W1586533492","https://openalex.org/W2475931511","https://openalex.org/W2288514747","https://openalex.org/W2028421389","https://openalex.org/W2089584260","https://openalex.org/W2194973444","https://openalex.org/W621597031","https://openalex.org/W2219442200","https://openalex.org/W2950616903","https://openalex.org/W2141366496","https://openalex.org/W2498527163","https://openalex.org/W81991373"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,26],"provide":[4],"a":[5,13,23,29,32],"simple":[6],"proof":[7],"of":[8,22],"the":[9,19,36],"Holonomy":[10],"theorem":[11],"using":[12],"new":[14],"Lyndon\u2013Chiswell":[15],"length":[16],"function":[17],"on":[18,35],"Karnofsky\u2013Rhodes":[20],"expansion":[21],"semigroup.":[24],"Unexpectedly,":[25],"have":[27],"both":[28],"left":[30],"and":[31],"right":[33],"action":[34],"Chiswell":[37],"tree":[38],"by":[39],"elliptic":[40],"maps.":[41]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
