{"id":"https://openalex.org/W2893699412","doi":"https://doi.org/10.1007/s11083-018-9474-3","title":"Weak Z-Property of the Absolute Order on Groups Generated by Sets Closed Under Taking Inverses","display_name":"Weak Z-Property of the Absolute Order on Groups Generated by Sets Closed Under Taking Inverses","publication_year":2018,"publication_date":"2018-09-22","ids":{"openalex":"https://openalex.org/W2893699412","doi":"https://doi.org/10.1007/s11083-018-9474-3","mag":"2893699412"},"language":"en","primary_location":{"id":"doi:10.1007/s11083-018-9474-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11083-018-9474-3","pdf_url":null,"source":{"id":"https://openalex.org/S121371512","display_name":"Order","issn_l":"0167-8094","issn":["0167-8094","1572-9273"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Order","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/A5101787512","display_name":"Sa\u00fal A. Blanco","orcid":"https://orcid.org/0000-0003-2315-5331"},"institutions":[{"id":"https://openalex.org/I4210119109","display_name":"Indiana University Bloomington","ror":"https://ror.org/02k40bc56","country_code":"US","type":"education","lineage":["https://openalex.org/I4210119109","https://openalex.org/I592451"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Sa\u00fal A. Blanco","raw_affiliation_strings":["Department of Computer Science, Indiana University, Bloomington, IN, 47408, USA"],"raw_orcid":"https://orcid.org/0000-0003-2315-5331","affiliations":[{"raw_affiliation_string":"Department of Computer Science, Indiana University, Bloomington, IN, 47408, USA","institution_ids":["https://openalex.org/I4210119109"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5101787512"],"corresponding_institution_ids":["https://openalex.org/I4210119109"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.24164845,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"36","issue":"2","first_page":"391","last_page":"397"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":1.0,"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"}},{"id":"https://openalex.org/T11428","display_name":"Advanced Mathematical Identities","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9983000159263611,"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/coxeter-group","display_name":"Coxeter group","score":0.9742552042007446},{"id":"https://openalex.org/keywords/bruhat-order","display_name":"Bruhat order","score":0.89466392993927},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.852108359336853},{"id":"https://openalex.org/keywords/coxeter-complex","display_name":"Coxeter complex","score":0.7966443300247192},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.6776946187019348},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6717385053634644},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.6413624882698059},{"id":"https://openalex.org/keywords/point-group","display_name":"Point group","score":0.6357300877571106},{"id":"https://openalex.org/keywords/coxeter-element","display_name":"Coxeter element","score":0.5444745421409607},{"id":"https://openalex.org/keywords/artin-group","display_name":"Artin group","score":0.4848964810371399}],"concepts":[{"id":"https://openalex.org/C143669375","wikidata":"https://www.wikidata.org/wiki/Q7874246","display_name":"Coxeter group","level":2,"score":0.9742552042007446},{"id":"https://openalex.org/C177274530","wikidata":"https://www.wikidata.org/wiki/Q4978697","display_name":"Bruhat order","level":3,"score":0.89466392993927},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.852108359336853},{"id":"https://openalex.org/C37486056","wikidata":"https://www.wikidata.org/wiki/Q5179939","display_name":"Coxeter complex","level":4,"score":0.7966443300247192},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.6776946187019348},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6717385053634644},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.6413624882698059},{"id":"https://openalex.org/C57796230","wikidata":"https://www.wikidata.org/wiki/Q899720","display_name":"Point group","level":2,"score":0.6357300877571106},{"id":"https://openalex.org/C140860697","wikidata":"https://www.wikidata.org/wiki/Q5179941","display_name":"Coxeter element","level":3,"score":0.5444745421409607},{"id":"https://openalex.org/C201064014","wikidata":"https://www.wikidata.org/wiki/Q3956993","display_name":"Artin group","level":3,"score":0.4848964810371399},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11083-018-9474-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11083-018-9474-3","pdf_url":null,"source":{"id":"https://openalex.org/S121371512","display_name":"Order","issn_l":"0167-8094","issn":["0167-8094","1572-9273"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Order","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.5099999904632568}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W658811051","https://openalex.org/W1510366593","https://openalex.org/W1543101259","https://openalex.org/W1607284064","https://openalex.org/W1972912363","https://openalex.org/W1993837540","https://openalex.org/W2012831754","https://openalex.org/W2018514125","https://openalex.org/W2187714265","https://openalex.org/W2187914216","https://openalex.org/W2298670852","https://openalex.org/W2762652252","https://openalex.org/W3123726212","https://openalex.org/W4213459181"],"related_works":["https://openalex.org/W2898698596","https://openalex.org/W4389441843","https://openalex.org/W2036064135","https://openalex.org/W2298670852","https://openalex.org/W2179621644","https://openalex.org/W2893699412","https://openalex.org/W145531765","https://openalex.org/W2116463862","https://openalex.org/W3088456608","https://openalex.org/W2141188991"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}