{"id":"https://openalex.org/W2036086501","doi":"https://doi.org/10.1142/s0218196711006212","title":"CYCLIC SUBGROUPS ARE QUASI-ISOMETRICALLY EMBEDDED IN THE THOMPSON\u2013STEIN GROUPS","display_name":"CYCLIC SUBGROUPS ARE QUASI-ISOMETRICALLY EMBEDDED IN THE THOMPSON\u2013STEIN GROUPS","publication_year":2011,"publication_date":"2011-02-01","ids":{"openalex":"https://openalex.org/W2036086501","doi":"https://doi.org/10.1142/s0218196711006212","mag":"2036086501"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196711006212","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196711006212","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/A5048414026","display_name":"Claire Wladis","orcid":"https://orcid.org/0000-0003-3904-6113"},"institutions":[{"id":"https://openalex.org/I174216632","display_name":"City University of New York","ror":"https://ror.org/00453a208","country_code":"US","type":"education","lineage":["https://openalex.org/I174216632"]},{"id":"https://openalex.org/I15653065","display_name":"Borough of Manhattan Community College","ror":"https://ror.org/040hwr020","country_code":"US","type":"education","lineage":["https://openalex.org/I15653065"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"CLAIRE WLADIS","raw_affiliation_strings":["Department of Mathematics, Borough of Manhattan Community College, City University of New York, 199 Chambers St., New York, NY 10007, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Borough of Manhattan Community College, City University of New York, 199 Chambers St., New York, NY 10007, USA","institution_ids":["https://openalex.org/I15653065","https://openalex.org/I174216632"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5048414026"],"corresponding_institution_ids":["https://openalex.org/I15653065","https://openalex.org/I174216632"],"apc_list":null,"apc_paid":null,"fwci":0.3773,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.57666917,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"21","issue":"01n02","first_page":"365","last_page":"385"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9958000183105469,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9957000017166138,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9310739636421204},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7115094065666199},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.4918341636657715},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.4528832733631134},{"id":"https://openalex.org/keywords/cone","display_name":"Cone (formal languages)","score":0.44032353162765503},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.08163994550704956}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9310739636421204},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7115094065666199},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.4918341636657715},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.4528832733631134},{"id":"https://openalex.org/C30014739","wikidata":"https://www.wikidata.org/wiki/Q5159445","display_name":"Cone (formal languages)","level":2,"score":0.44032353162765503},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.08163994550704956},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218196711006212","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196711006212","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":[{"id":"https://openalex.org/F4320309102","display_name":"City University of New York","ror":"https://ror.org/00453a208"},{"id":"https://openalex.org/F4320324094","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W134176662","https://openalex.org/W1606202023","https://openalex.org/W1606428643","https://openalex.org/W1984884268","https://openalex.org/W2000230623","https://openalex.org/W2019271765","https://openalex.org/W2050025267","https://openalex.org/W2086023871","https://openalex.org/W2125842458","https://openalex.org/W2163178997","https://openalex.org/W2322599043"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2042127053","https://openalex.org/W2142036596","https://openalex.org/W4238204885"],"abstract_inverted_index":{"We":[0],"give":[1],"criteria":[2],"for":[3,83],"determining":[4],"the":[5,16,39,44,53,62,70,80,90],"approximate":[6],"length":[7],"of":[8,15,38,41],"elements":[9],"in":[10,36,43,61,79],"any":[11],"given":[12],"cyclic":[13,56],"subgroup":[14],"Thompson\u2013Stein":[17,63,81,91],"groups":[18,82,92],"F(n":[19],"1":[20,27,32],",\u2026,n":[21],"k":[22],")":[23],"such":[24],"that":[25,55,72,89],"n":[26,74,85],"-":[28,31],"1|n":[29],"i":[30],"\u2200i":[33],"\u2208":[34,86],"{1,\u2026,k}":[35],"terms":[37],"number":[40],"leaves":[42],"minimal":[45],"tree-pair":[46],"diagram":[47],"representative.":[48],"This":[49,65],"leads":[50,68],"directly":[51],"to":[52,69],"result":[54,66],"subgroups":[57],"are":[58],"quasi-isometrically":[59,77],"embedded":[60,78],"groups.":[64],"also":[67,76],"corollaries":[71],"\u2124":[73],"is":[75],"all":[84],"\u2115":[87],"and":[88],"have":[93],"infinite":[94],"dimensional":[95],"asymptotic":[96],"cone.":[97]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}