{"id":"https://openalex.org/W4291127716","doi":"https://doi.org/10.1142/s021819671350029x","title":"PREGARSIDE MONOIDS AND GROUPS, PARABOLICITY, AMALGAMATION, AND FC PROPERTY","display_name":"PREGARSIDE MONOIDS AND GROUPS, PARABOLICITY, AMALGAMATION, AND FC PROPERTY","publication_year":2013,"publication_date":"2013-06-24","ids":{"openalex":"https://openalex.org/W4291127716","doi":"https://doi.org/10.1142/s021819671350029x"},"language":"en","primary_location":{"id":"doi:10.1142/s021819671350029x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021819671350029x","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":true,"oa_status":"green","oa_url":"https://hal.science/hal-00691223","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091150644","display_name":"Eddy Godelle","orcid":"https://orcid.org/0000-0003-2086-5952"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I98702875","display_name":"Universit\u00e9 de Caen Normandie","ror":"https://ror.org/051kpcy16","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918","https://openalex.org/I98702875"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"EDDY GODELLE","raw_affiliation_strings":["Laboratoire LMNO, UMR 6139 du CNRS, Universit\u00e9 de Caen, Campus II, 14032 Caen cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire LMNO, UMR 6139 du CNRS, Universit\u00e9 de Caen, Campus II, 14032 Caen cedex, France","institution_ids":["https://openalex.org/I98702875","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":null,"display_name":"LUIS PARIS","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I177064439","display_name":"Universit\u00e9 de Bourgogne","ror":"https://ror.org/03k1bsr36","country_code":"FR","type":"education","lineage":["https://openalex.org/I177064439"]},{"id":"https://openalex.org/I4210112333","display_name":"Institut de Math\u00e9matiques de Bourgogne","ror":"https://ror.org/021f0sa24","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210112333","https://openalex.org/I4405253280"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"LUIS PARIS","raw_affiliation_strings":["Institut de Math\u00e9matiques de Bourgogne, UMR 5584 du CNRS, Universit\u00e9 de Bourgogne, B.P. 47870, 21078 Dijon cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut de Math\u00e9matiques de Bourgogne, UMR 5584 du CNRS, Universit\u00e9 de Bourgogne, B.P. 47870, 21078 Dijon cedex, France","institution_ids":["https://openalex.org/I4210112333","https://openalex.org/I177064439","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5091150644"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I98702875"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.31289799,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"23","issue":"06","first_page":"1431","last_page":"1467"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.822700023651123,"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"}},"topics":[{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.822700023651123,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.052400000393390656,"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/T10849","display_name":"Finite Group Theory Research","score":0.03150000050663948,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.7246103882789612},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.35846930742263794},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.338844358921051},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.1933097541332245},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.16650858521461487}],"concepts":[{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.7246103882789612},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.35846930742263794},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.338844358921051},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.1933097541332245},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.16650858521461487}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s021819671350029x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021819671350029x","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:CiteSeerX.psu:10.1.1.670.5481","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.670.5481","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://hal.archives-ouvertes.fr/hal-00691223/document/","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00691223v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00691223","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2012","raw_type":"Preprints, Working Papers, ..."}],"best_oa_location":{"id":"pmh:oai:HAL:hal-00691223v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00691223","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2012","raw_type":"Preprints, Working Papers, ..."},"sustainable_development_goals":[{"score":0.6600000262260437,"display_name":"Zero hunger","id":"https://metadata.un.org/sdg/2"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W96743894","https://openalex.org/W1512261170","https://openalex.org/W1545078593","https://openalex.org/W1964103416","https://openalex.org/W1994194609","https://openalex.org/W1994300421","https://openalex.org/W2006929850","https://openalex.org/W2008152940","https://openalex.org/W2008245128","https://openalex.org/W2023354004","https://openalex.org/W2024778518","https://openalex.org/W2027297841","https://openalex.org/W2037457781","https://openalex.org/W2039807511","https://openalex.org/W2046043855","https://openalex.org/W2050557236","https://openalex.org/W2061631037","https://openalex.org/W2062642743","https://openalex.org/W2064346858","https://openalex.org/W2074410048","https://openalex.org/W2084448358","https://openalex.org/W2085821474","https://openalex.org/W2088272217","https://openalex.org/W2092759805","https://openalex.org/W2158446505","https://openalex.org/W2166423342","https://openalex.org/W2169571957","https://openalex.org/W2315234012","https://openalex.org/W2963241640"],"related_works":["https://openalex.org/W2054041022","https://openalex.org/W2161107028","https://openalex.org/W277365720","https://openalex.org/W1527042688","https://openalex.org/W1992701264","https://openalex.org/W2953284627","https://openalex.org/W2082703031","https://openalex.org/W2340911424","https://openalex.org/W2750023402","https://openalex.org/W1995461971"],"abstract_inverted_index":{"We":[0],"define":[1,89],"the":[2,9,37,56,68,90,99,107],"notion":[3,38],"of":[4,11,39,61,71,92,95,102],"preGarside":[5,20,46,73,83,93,103,130],"group":[6,13,47],"slightly":[7],"lightening":[8],"definition":[10],"Garside":[12,108],"so":[14],"that":[15,44,67,105,111],"all":[16],"Artin\u2013Tits":[17],"groups":[18,74,94,104,109,131],"are":[19],"groups.":[21,33],"This":[22,85],"paper":[23],"intends":[24],"to":[25,88],"give":[26],"a":[27,49,76,82],"first":[28],"basic":[29],"study":[30,126],"on":[31,127],"these":[32,62],"Firstly,":[34],"we":[35,42,54,65,120],"introduce":[36],"parabolic":[40,57,78,117,134],"subgroup,":[41],"prove":[43,66],"any":[45],"has":[48],"(partial)":[50],"complemented":[51],"presentation,":[52],"and":[53,110,124,132],"characterize":[55],"subgroups":[58],"in":[59],"terms":[60],"presentations.":[63],"Afterwards":[64],"amalgamated":[69],"product":[70],"two":[72],"along":[75,116],"common":[77],"subgroup":[79],"is":[80,112],"again":[81],"group.":[84],"enables":[86],"us":[87],"family":[91,101],"FC":[96,128],"type":[97,129],"as":[98],"smallest":[100],"contains":[106],"closed":[113],"by":[114],"amalgamation":[115],"subgroups.":[118,135],"Finally,":[119],"make":[121],"an":[122],"algebraic":[123],"combinatorial":[125],"their":[133]},"counts_by_year":[],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}
