{"id":"https://openalex.org/W1769070222","doi":"https://doi.org/10.1080/10586458.2015.1110541","title":"Hyperbolic Triangular Buildings Without Periodic Planes of Genus 2","display_name":"Hyperbolic Triangular Buildings Without Periodic Planes of Genus 2","publication_year":2016,"publication_date":"2016-07-13","ids":{"openalex":"https://openalex.org/W1769070222","doi":"https://doi.org/10.1080/10586458.2015.1110541","mag":"1769070222"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.2015.1110541","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2015.1110541","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1409.1401","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5077516611","display_name":"Riikka Kangaslampi","orcid":"https://orcid.org/0000-0002-9059-8047"},"institutions":[{"id":"https://openalex.org/I9927081","display_name":"Aalto University","ror":"https://ror.org/020hwjq30","country_code":"FI","type":"education","lineage":["https://openalex.org/I9927081"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Riikka Kangaslampi","raw_affiliation_strings":["Department of Mathematics and Systems Analysis, Aalto University, Helsinki, Finland","Department of Mathematics and Systems Analysis Aalto University Helsinki Finland"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Systems Analysis, Aalto University, Helsinki, Finland","institution_ids":["https://openalex.org/I9927081"]},{"raw_affiliation_string":"Department of Mathematics and Systems Analysis Aalto University Helsinki Finland","institution_ids":["https://openalex.org/I9927081"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071996822","display_name":"Alina Vdovina","orcid":"https://orcid.org/0000-0002-7656-1424"},"institutions":[{"id":"https://openalex.org/I84884186","display_name":"Newcastle University","ror":"https://ror.org/01kj2bm70","country_code":"GB","type":"education","lineage":["https://openalex.org/I84884186"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Alina Vdovina","raw_affiliation_strings":["School of Mathematics and Statistics, Newcastle University, Newcastle upon Tyne, UK","Newcastle University"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Newcastle University, Newcastle upon Tyne, UK","institution_ids":["https://openalex.org/I84884186"]},{"raw_affiliation_string":"Newcastle University","institution_ids":["https://openalex.org/I84884186"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5071996822"],"corresponding_institution_ids":["https://openalex.org/I84884186"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.01498638,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"26","issue":"1","first_page":"54","last_page":"61"},"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9983000159263611,"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":0.9911999702453613,"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/mathematics","display_name":"Mathematics","score":0.69549560546875},{"id":"https://openalex.org/keywords/hyperbolic-geometry","display_name":"Hyperbolic geometry","score":0.5222216844558716},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5002021789550781},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.46308594942092896},{"id":"https://openalex.org/keywords/genus","display_name":"Genus","score":0.4603341519832611},{"id":"https://openalex.org/keywords/hyperbolic-group","display_name":"Hyperbolic group","score":0.4565867781639099},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.4482201337814331},{"id":"https://openalex.org/keywords/relatively-hyperbolic-group","display_name":"Relatively hyperbolic group","score":0.41356921195983887},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.33922433853149414},{"id":"https://openalex.org/keywords/hyperbolic-manifold","display_name":"Hyperbolic manifold","score":0.29759493470191956},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.21162068843841553},{"id":"https://openalex.org/keywords/algebraic-geometry","display_name":"Algebraic geometry","score":0.119760662317276},{"id":"https://openalex.org/keywords/hyperbolic-function","display_name":"Hyperbolic function","score":0.10349386930465698},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.06965389847755432}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.69549560546875},{"id":"https://openalex.org/C206352148","wikidata":"https://www.wikidata.org/wiki/Q209306","display_name":"Hyperbolic geometry","level":3,"score":0.5222216844558716},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5002021789550781},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.46308594942092896},{"id":"https://openalex.org/C157369684","wikidata":"https://www.wikidata.org/wiki/Q34740","display_name":"Genus","level":2,"score":0.4603341519832611},{"id":"https://openalex.org/C167150821","wikidata":"https://www.wikidata.org/wiki/Q81194","display_name":"Hyperbolic group","level":4,"score":0.4565867781639099},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4482201337814331},{"id":"https://openalex.org/C40020168","wikidata":"https://www.wikidata.org/wiki/Q7310818","display_name":"Relatively hyperbolic group","level":4,"score":0.41356921195983887},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.33922433853149414},{"id":"https://openalex.org/C70984080","wikidata":"https://www.wikidata.org/wiki/Q2619102","display_name":"Hyperbolic manifold","level":3,"score":0.29759493470191956},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.21162068843841553},{"id":"https://openalex.org/C68363185","wikidata":"https://www.wikidata.org/wiki/Q180969","display_name":"Algebraic geometry","level":2,"score":0.119760662317276},{"id":"https://openalex.org/C92047909","wikidata":"https://www.wikidata.org/wiki/Q204034","display_name":"Hyperbolic function","level":2,"score":0.10349386930465698},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.06965389847755432},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","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}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1080/10586458.2015.1110541","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2015.1110541","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1409.1401","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1409.1401","pdf_url":"https://arxiv.org/pdf/1409.1401","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:edoc.mpg.de:734214","is_oa":false,"landing_page_url":"http://edoc.mpg.de/734214","pdf_url":null,"source":{"id":"https://openalex.org/S4406922265","display_name":"Max Planck Institute for Plasma Physics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Experimental Mathematics, v.26, 54-61 (2017)","raw_type":"Article"},{"id":"pmh:oai:eprint.ncl.ac.uk:233014","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306402485","display_name":"Newcastle University ePrints (Newcastle Univesity)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I84884186","host_organization_name":"Newcastle University","host_organization_lineage":["https://openalex.org/I84884186"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""},{"id":"pmh:oai:pure.mpg.de:item_3118642","is_oa":true,"landing_page_url":"http://hdl.handle.net/21.11116/0000-0004-0B14-A","pdf_url":null,"source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"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":"Experimental Mathematics","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1409.1401","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1409.1401","pdf_url":"https://arxiv.org/pdf/1409.1401","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":[{"id":"https://metadata.un.org/sdg/11","score":0.8100000023841858,"display_name":"Sustainable cities and communities"}],"awards":[{"id":"https://openalex.org/G6087763000","display_name":null,"funder_award_id":"EP/K016687/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1493008989","https://openalex.org/W1570647348","https://openalex.org/W1990600049","https://openalex.org/W2013615526","https://openalex.org/W2070896309","https://openalex.org/W2084884735","https://openalex.org/W2094083425","https://openalex.org/W2097437141","https://openalex.org/W2119823023","https://openalex.org/W2137401377","https://openalex.org/W2964350858","https://openalex.org/W3040586665","https://openalex.org/W3102990155","https://openalex.org/W3106403092","https://openalex.org/W4292083669"],"related_works":["https://openalex.org/W2154601863","https://openalex.org/W1975895826","https://openalex.org/W2023866887","https://openalex.org/W2065123881","https://openalex.org/W3104356028","https://openalex.org/W2567595929","https://openalex.org/W2106320975","https://openalex.org/W2038307298","https://openalex.org/W3139758887","https://openalex.org/W2093411757"],"abstract_inverted_index":{"We":[0],"study":[1,18,173],"surface":[2,24,45,174,255,267,287],"subgroups":[3,175,288],"of":[4,12,42,46,79,108,120,139,143,154,162,176,210,219,227,239,246,253,265,272],"groups":[5,132,149,180,277,283],"acting":[6,133,157],"simply":[7,134,158],"transitively":[8,135,159],"on":[9,67,105,136,160,198],"vertex":[10],"sets":[11],"certain":[13],"hyperbolic":[14,30,140,163],"triangular":[15,141,164],"buildings.":[16],"The":[17,244],"is":[19,36,259],"motivated":[20],"by":[21],"Gromov\u2019s":[22],"famous":[23],"subgroup":[25,34,268],"question:":[26],"Does":[27],"every":[28],"one-ended":[29],"group":[31,41],"contain":[32],"a":[33,43,240,254,266,273],"which":[35],"isomorphic":[37],"to":[38],"the":[39,126,137,144,151,177,217,228,237,251,263,270,279],"fundamental":[40],"closed":[44],"genus":[47,241],"at":[48],"least":[49],"2?":[50],"In":[51],"[Kangaslampi":[52,56,183,187],"and":[53,57,62,85,98,129,184,188,193],"Vdovina":[54,58,185,189],"10":[55,186],"10]":[59,190],"R.":[60,96,191],"Kangaslampi":[61,192],"A.":[63,99,194],"Vdovina.":[64,100,195],"\u201cCocompact":[65,196],"Actions":[66,197],"Hyperbolic":[68,109,199],"Buildings.\u201d":[69,111,200],"Internat.":[70,201],"J.":[71,113,202],"Algebra":[72,203],"Comput.":[73,114,204],"20:":[74,205],"4":[75,206],"(2010),":[76,207],"591\u2013603.[Crossref],":[77,208],"[Web":[78,119,209],"Science":[80,121,211],"\u00ae]":[81,122,212],",":[82,123,213],"[Google":[83,124,214],"Scholar]]":[84,125],"[Carbone":[86,90],"et":[87,91],"al.":[88,92],"12":[89],"12]":[93],"L.":[94],"Carbone,":[95],"Kangaslampi,":[97],"\u201cGroups":[101],"Acting":[102],"Simply":[103],"Transitively":[104],"Vertex":[106],"Sets":[107],"Triangular":[110],"LMS":[112],"Math.":[115],"15":[116],"(2012),":[117],"101\u2013112.[Crossref],":[118],"authors":[127],"constructed":[128],"classified":[130],"all":[131],"vertices":[138,161],"buildings":[142,166],"smallest":[145],"non-trivial":[146],"thickness.":[147],"These":[148,276],"gave":[150],"first":[152,280],"examples":[153],"cocompact":[155],"lattices":[156],"Kac\u2013Moody":[165],"that":[167,224,284],"are":[168,231,278],"not":[169,260],"right-angled.":[170],"Here":[171],"we":[172,222],"23":[178],"torsion-free":[179],"obtained":[181],"in":[182,225],"Scholar]].":[215],"With":[216],"help":[218],"computer":[220],"searches,":[221],"show":[223],"most":[226],"cases":[229],"there":[230],"no":[232,286],"periodic":[233,274,291],"apartments":[234],"invariant":[235],"under":[236],"action":[238,249],"2":[242],"surface.":[243],"existence":[245,252,264,271],"such":[247],"an":[248],"implies":[250,269],"subgroup,":[256],"but":[257],"it":[258],"known":[261],"whether":[262],"apartment.":[275],"candidates":[281],"for":[282],"have":[285],"arising":[289],"from":[290],"apartments.":[292]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2016-06-24T00:00:00"}
