{"id":"https://openalex.org/W2963872340","doi":"https://doi.org/10.1142/s0218196712400036","title":"SURFACE SUBGROUPS OF GRAPH PRODUCTS OF GROUPS","display_name":"SURFACE SUBGROUPS OF GRAPH PRODUCTS OF GROUPS","publication_year":2012,"publication_date":"2012-09-27","ids":{"openalex":"https://openalex.org/W2963872340","doi":"https://doi.org/10.1142/s0218196712400036","mag":"2963872340"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196712400036","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196712400036","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/A5100326322","display_name":"Sanghyun Kim","orcid":"https://orcid.org/0000-0002-6868-2277"},"institutions":[{"id":"https://openalex.org/I157485424","display_name":"Korea Advanced Institute of Science and Technology","ror":"https://ror.org/05apxxy63","country_code":"KR","type":"education","lineage":["https://openalex.org/I157485424"]},{"id":"https://openalex.org/I4210158432","display_name":"National Institute for Mathematical Sciences","ror":"https://ror.org/04n7py080","country_code":"KR","type":"education","lineage":["https://openalex.org/I4210158432"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"SANG-HYUN KIM","raw_affiliation_strings":["Department of Mathematical Sciences, KAIST, Daejeon 305-701, Republic of Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, KAIST, Daejeon 305-701, Republic of Korea","institution_ids":["https://openalex.org/I4210158432","https://openalex.org/I157485424"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5100326322"],"corresponding_institution_ids":["https://openalex.org/I157485424","https://openalex.org/I4210158432"],"apc_list":null,"apc_paid":null,"fwci":0.4191,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.67209601,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"22","issue":"08","first_page":"1240003","last_page":"1240003"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":1.0,"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":1.0,"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/T11567","display_name":"semigroups and automata theory","score":0.9976000189781189,"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/T10899","display_name":"Advanced Operator Algebra Research","score":0.9965999722480774,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8760813474655151},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6257925629615784},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.4709133803844452},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.46616131067276},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4489075243473053},{"id":"https://openalex.org/keywords/distance-regular-graph","display_name":"Distance-regular graph","score":0.4158400297164917},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.30671682953834534}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8760813474655151},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6257925629615784},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.4709133803844452},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.46616131067276},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4489075243473053},{"id":"https://openalex.org/C56783289","wikidata":"https://www.wikidata.org/wiki/Q3115556","display_name":"Distance-regular graph","level":5,"score":0.4158400297164917},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.30671682953834534}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218196712400036","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196712400036","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W1915354906","https://openalex.org/W1927956358","https://openalex.org/W1963675724","https://openalex.org/W1974069850","https://openalex.org/W1974688296","https://openalex.org/W1981146734","https://openalex.org/W2000569273","https://openalex.org/W2005495628","https://openalex.org/W2026849456","https://openalex.org/W2035331304","https://openalex.org/W2039508012","https://openalex.org/W2044735350","https://openalex.org/W2045121122","https://openalex.org/W2057552663","https://openalex.org/W2059536492","https://openalex.org/W2060470576","https://openalex.org/W2088327549","https://openalex.org/W2097437141","https://openalex.org/W2104480106","https://openalex.org/W2108754723","https://openalex.org/W2114424912","https://openalex.org/W2129396544","https://openalex.org/W2130119884","https://openalex.org/W2134086356","https://openalex.org/W2137401377","https://openalex.org/W2148996685","https://openalex.org/W2170959192","https://openalex.org/W2963325827","https://openalex.org/W3101336798","https://openalex.org/W3106216040","https://openalex.org/W3106437626","https://openalex.org/W4213311856","https://openalex.org/W4214730084","https://openalex.org/W4235484205","https://openalex.org/W4240935044","https://openalex.org/W4242336842"],"related_works":["https://openalex.org/W4298172984","https://openalex.org/W2075085574","https://openalex.org/W1963961477","https://openalex.org/W2002373719","https://openalex.org/W2946716466","https://openalex.org/W3104688290","https://openalex.org/W2036334548","https://openalex.org/W1985669273","https://openalex.org/W2387540472","https://openalex.org/W4293570121"],"abstract_inverted_index":{"Let":[0],"G":[1,32],"be":[2,13],"a":[3,7,27,43,50,60,86,106,120,133],"graph":[4,44,51,61,87,91,113],"product":[5,16,45,52,62,92,114],"of":[6,9,17,21,37,54,63,75,81,93,115,122],"collection":[8,20],"groups":[10,56,67,96,118,154],"and":[11,59,77],"H":[12],"the":[14,18,73,90,112,138,141],"direct":[15],"same":[19],"groups,":[22,100],"so":[23],"that":[24,49],"there":[25],"is":[26,41,57,68],"natural":[28],"surjection":[29],"p":[30,40],":":[31],"\u2192":[33],"H.":[34],"The":[35,79],"kernel":[36,53],"this":[38,82],"map":[39],"called":[42],"kernel.":[46],"We":[47],"prove":[48],"countable":[55],"special,":[58],"finite":[64,103],"or":[65,101,127],"cyclic":[66,99],"virtually":[69],"cocompact":[70],"special":[71],"in":[72],"sense":[74],"Haglund":[76],"Wise.":[78],"proof":[80],"yields":[83],"conditions":[84],"for":[85],"over":[88,119,128],"which":[89],"arbitrary":[94,116],"nontrivial":[95,117],"(or":[97],"some":[98,102],"groups)":[104],"contains":[105,132],"hyperbolic":[107,134,156],"surface":[108,135,157],"group.":[109,136],"In":[110],"particular,":[111],"cycle":[121],"length":[123],"at":[124,145],"least":[125],"five,":[126],"its":[129],"opposite":[130],"graph,":[131],"For":[137],"case":[139],"when":[140],"defining":[142],"graphs":[143],"have":[144],"most":[146],"seven":[147],"vertices,":[148],"we":[149],"completely":[150],"characterize":[151],"right-angled":[152],"Coxeter":[153],"with":[155],"subgroups.":[158]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
