{"id":"https://openalex.org/W2739927945","doi":"https://doi.org/10.1142/s0218196718500212","title":"On the intersection of tame subgroups in groups acting on trees","display_name":"On the intersection of tame subgroups in groups acting on trees","publication_year":2018,"publication_date":"2018-03-19","ids":{"openalex":"https://openalex.org/W2739927945","doi":"https://doi.org/10.1142/s0218196718500212","mag":"2739927945"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196718500212","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196718500212","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/1703.01117","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5016045197","display_name":"Konstantinos Lentzos","orcid":null},"institutions":[{"id":"https://openalex.org/I200777214","display_name":"National and Kapodistrian University of Athens","ror":"https://ror.org/04gnjpq42","country_code":"GR","type":"education","lineage":["https://openalex.org/I200777214"]}],"countries":["GR"],"is_corresponding":true,"raw_author_name":"Konstantinos Lentzos","raw_affiliation_strings":["Department of Mathematics, National and Kapodistrian University of Athens, Panepistimioupolis, GR-157 84, Athens, Greece","Department of Mathematics, National and Kapodistrian University of Athens, Panepistimioupolis, GR 157 84 Athens, Greece"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National and Kapodistrian University of Athens, Panepistimioupolis, GR-157 84, Athens, Greece","institution_ids":["https://openalex.org/I200777214"]},{"raw_affiliation_string":"Department of Mathematics, National and Kapodistrian University of Athens, Panepistimioupolis, GR 157 84 Athens, Greece","institution_ids":["https://openalex.org/I200777214"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038927957","display_name":"Mihalis Sykiotis","orcid":null},"institutions":[{"id":"https://openalex.org/I200777214","display_name":"National and Kapodistrian University of Athens","ror":"https://ror.org/04gnjpq42","country_code":"GR","type":"education","lineage":["https://openalex.org/I200777214"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Mihalis Sykiotis","raw_affiliation_strings":["Department of Mathematics, National and Kapodistrian University of Athens, Panepistimioupolis, GR-157 84, Athens, Greece","Department of Mathematics, National and Kapodistrian University of Athens, Panepistimioupolis, GR 157 84 Athens, Greece"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National and Kapodistrian University of Athens, Panepistimioupolis, GR-157 84, Athens, Greece","institution_ids":["https://openalex.org/I200777214"]},{"raw_affiliation_string":"Department of Mathematics, National and Kapodistrian University of Athens, Panepistimioupolis, GR 157 84 Athens, Greece","institution_ids":["https://openalex.org/I200777214"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5016045197"],"corresponding_institution_ids":["https://openalex.org/I200777214"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.02157845,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"28","issue":"03","first_page":"467","last_page":"481"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9994000196456909,"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":0.9994000196456909,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9991000294685364,"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/T10849","display_name":"Finite Group Theory Research","score":0.9975000023841858,"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/intersection","display_name":"Intersection (aeronautics)","score":0.8253433704376221},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7594932317733765},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6564849615097046},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6438433527946472},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.6232866048812866},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.6112473607063293},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.5651691555976868},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.5595420002937317},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.546291172504425},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33514365553855896},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2321375608444214},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11372449994087219},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.05914905667304993},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.057639747858047485},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.033412814140319824}],"concepts":[{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.8253433704376221},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7594932317733765},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6564849615097046},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6438433527946472},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.6232866048812866},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.6112473607063293},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.5651691555976868},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.5595420002937317},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.546291172504425},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33514365553855896},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2321375608444214},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11372449994087219},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.05914905667304993},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.057639747858047485},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.033412814140319824},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"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/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1142/s0218196718500212","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196718500212","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:1703.01117","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1703.01117","pdf_url":"https://arxiv.org/pdf/1703.01117","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":"","raw_type":"text"},{"id":"mag:2739927945","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1703.01117.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":"doi:10.48550/arxiv.1703.01117","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1703.01117","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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1703.01117","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1703.01117","pdf_url":"https://arxiv.org/pdf/1703.01117","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":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2739927945.pdf","grobid_xml":"https://content.openalex.org/works/W2739927945.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W1536001468","https://openalex.org/W1573230085","https://openalex.org/W1615948245","https://openalex.org/W1967906530","https://openalex.org/W1977672874","https://openalex.org/W1983406180","https://openalex.org/W1984788336","https://openalex.org/W1986256453","https://openalex.org/W2013351531","https://openalex.org/W2040960421","https://openalex.org/W2052597293","https://openalex.org/W2061283920","https://openalex.org/W2092222018","https://openalex.org/W2136382466","https://openalex.org/W2165882661","https://openalex.org/W2169722656","https://openalex.org/W2963106238","https://openalex.org/W3098580000","https://openalex.org/W4253313367"],"related_works":["https://openalex.org/W2008105878","https://openalex.org/W2466346660","https://openalex.org/W3179095898","https://openalex.org/W2146275066","https://openalex.org/W2083736508","https://openalex.org/W3088535250","https://openalex.org/W2556070589","https://openalex.org/W2606627981","https://openalex.org/W2961335900","https://openalex.org/W3002540407","https://openalex.org/W3099620677","https://openalex.org/W2952970770","https://openalex.org/W2401237230","https://openalex.org/W2951968296","https://openalex.org/W2028769156","https://openalex.org/W2025225239","https://openalex.org/W3042225759","https://openalex.org/W1836740286","https://openalex.org/W2119223354","https://openalex.org/W3100156019"],"abstract_inverted_index":{"Let":[0],"[Formula:":[1,11,36,43,47,51,60,64,76,87,91,98,102,111],"see":[2,12,37,44,48,52,61,65,77,88,92,99,103,112],"text]":[3,13,38,45,49,53,62,78,89,100,104],"be":[4],"a":[5,9],"group":[6],"acting":[7],"on":[8,107],"tree":[10],"with":[14],"finite":[15],"edge":[16],"stabilizers":[17],"of":[18,33,39,50,56,59,79,84,110],"bounded":[19],"order.":[20],"We":[21],"provide,":[22],"in":[23,54,82,94],"some":[24],"very":[25],"interesting":[26],"cases,":[27],"upper":[28],"bounds":[29,71],"for":[30,72],"the":[31,34,57,73,80,95,108],"complexity":[32],"intersection":[35,81],"two":[40],"tame":[41],"subgroups":[42],"and":[46,63,90,101],"terms":[55,83],"complexities":[58],"text].":[66,113],"In":[67],"particular,":[68],"we":[69],"obtain":[70],"Kurosh":[74,85],"rank":[75],"ranks":[86],"text],":[93],"case,":[96],"where":[97],"act":[105],"freely":[106],"edges":[109]},"counts_by_year":[],"updated_date":"2026-02-09T09:26:11.010843","created_date":"2025-10-10T00:00:00"}