{"id":"https://openalex.org/W2009252166","doi":"https://doi.org/10.1142/s0218196795000148","title":"THE FUNDAMENTAL GROUPS OF CLOSED ORIENTABLE 3-MANIFOLDS ADMITTING COLORED TRIANGULATIONS WITH LESS THAN 30 TETRAHEDRA","display_name":"THE FUNDAMENTAL GROUPS OF CLOSED ORIENTABLE 3-MANIFOLDS ADMITTING COLORED TRIANGULATIONS WITH LESS THAN 30 TETRAHEDRA","publication_year":1995,"publication_date":"1995-04-01","ids":{"openalex":"https://openalex.org/W2009252166","doi":"https://doi.org/10.1142/s0218196795000148","mag":"2009252166"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196795000148","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196795000148","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5107195823","display_name":"S\u00f3stenes Lins","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"S\u00d3STENES LINS","raw_affiliation_strings":["Departamento de Matem\u00e1tica da UFPE, 50739 Recife, Brasil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica da UFPE, 50739 Recife, Brasil","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026144058","display_name":"Said N. Sidki","orcid":"https://orcid.org/0000-0002-9863-0021"},"institutions":[{"id":"https://openalex.org/I150729083","display_name":"Universidade de Bras\u00edlia","ror":"https://ror.org/02xfp8v59","country_code":"BR","type":"education","lineage":["https://openalex.org/I150729083"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"SAID SIDKI","raw_affiliation_strings":["Departamento de Matem\u00e1tica da UNB, 70910 Brasilia, Brasil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica da UNB, 70910 Brasilia, Brasil","institution_ids":["https://openalex.org/I150729083"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5357,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.5999626,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"05","issue":"02","first_page":"205","last_page":"250"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.972000002861023,"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":0.972000002861023,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9674999713897705,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9212999939918518,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8873929381370544},{"id":"https://openalex.org/keywords/tetrahedron","display_name":"Tetrahedron","score":0.7750418186187744},{"id":"https://openalex.org/keywords/colored","display_name":"Colored","score":0.7350010871887207},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7043253779411316},{"id":"https://openalex.org/keywords/3-manifold","display_name":"3-manifold","score":0.6386765837669373},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5576789975166321},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5202630758285522},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.4765534996986389},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.41968560218811035},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10439151525497437},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.061180830001831055}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8873929381370544},{"id":"https://openalex.org/C105239961","wikidata":"https://www.wikidata.org/wiki/Q160003","display_name":"Tetrahedron","level":2,"score":0.7750418186187744},{"id":"https://openalex.org/C2778307483","wikidata":"https://www.wikidata.org/wiki/Q5149038","display_name":"Colored","level":2,"score":0.7350010871887207},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7043253779411316},{"id":"https://openalex.org/C191403955","wikidata":"https://www.wikidata.org/wiki/Q526901","display_name":"3-manifold","level":2,"score":0.6386765837669373},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5576789975166321},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5202630758285522},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.4765534996986389},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.41968560218811035},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10439151525497437},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.061180830001831055},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218196795000148","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196795000148","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2767454672","https://openalex.org/W2951128818","https://openalex.org/W2004452914","https://openalex.org/W2068497445","https://openalex.org/W2016438406","https://openalex.org/W1893210011","https://openalex.org/W4388391159","https://openalex.org/W1448744659","https://openalex.org/W2553602403","https://openalex.org/W4301479768"],"abstract_inverted_index":{"For":[0],"n":[1,30],"even":[2],"positive":[3],"integer":[4],"let":[5],"[Formula:":[6,60],"see":[7,61],"text]":[8],"(gem":[9],"manifold)":[10],"be":[11,20],"the":[12,41,45,48,56],"class":[13],"of":[14,27,55,59],"closed":[15],"orientable":[16],"3-manifolds":[17],"which":[18,32],"can":[19],"formed":[21],"by":[22],"pasting":[23,46],"together":[24],"a":[25,52],"collection":[26],"at":[28],"most":[29],"tetrahedra":[31],"have":[33],"colors":[34],"0,":[35],"1,":[36],"2,":[37],"3":[38],"assigned":[39],"to":[40],"vertices":[42],"so":[43],"that":[44],"obeys":[47],"coloring.":[49],"We":[50],"provide":[51],"thorough":[53],"analysis":[54],"fundamental":[57],"groups":[58],"text].":[62]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
