{"id":"https://openalex.org/W3198085563","doi":"https://doi.org/10.1002/malq.202000062","title":"On height of group trees on tame abelian product groups","display_name":"On height of group trees on tame abelian product groups","publication_year":2021,"publication_date":"2021-08-01","ids":{"openalex":"https://openalex.org/W3198085563","doi":"https://doi.org/10.1002/malq.202000062","mag":"3198085563"},"language":"en","primary_location":{"id":"doi:10.1002/malq.202000062","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.202000062","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0942-5616","issn":["0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","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/A5025193823","display_name":"Jialiang He","orcid":"https://orcid.org/0000-0003-3719-9220"},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jialiang He","raw_affiliation_strings":["School of Mathematical Sciences Nankai University  Tianjin 300071 PR China","School of Mathematical Sciences, Nankai University, Tianjin, 300071 PR China"],"raw_orcid":"https://orcid.org/0000-0003-3719-9220","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences Nankai University  Tianjin 300071 PR China","institution_ids":["https://openalex.org/I205237279"]},{"raw_affiliation_string":"School of Mathematical Sciences, Nankai University, Tianjin, 300071 PR China","institution_ids":["https://openalex.org/I205237279"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5025193823"],"corresponding_institution_ids":["https://openalex.org/I205237279"],"apc_list":{"value":2630,"currency":"USD","value_usd":2630},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16424175,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"67","issue":"3","first_page":"374","last_page":"381"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9103000164031982,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9103000164031982,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8612478971481323},{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.8400253653526306},{"id":"https://openalex.org/keywords/countable-set","display_name":"Countable set","score":0.672553539276123},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5353463292121887},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.525812566280365},{"id":"https://openalex.org/keywords/torsion","display_name":"Torsion (gastropod)","score":0.5184983015060425},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.48944106698036194},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4455745220184326},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.43868422508239746},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4167952537536621},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14714133739471436},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0754687488079071},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06785386800765991},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.03780379891395569}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8612478971481323},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.8400253653526306},{"id":"https://openalex.org/C110729354","wikidata":"https://www.wikidata.org/wiki/Q185478","display_name":"Countable set","level":2,"score":0.672553539276123},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5353463292121887},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.525812566280365},{"id":"https://openalex.org/C77461463","wikidata":"https://www.wikidata.org/wiki/Q7827201","display_name":"Torsion (gastropod)","level":2,"score":0.5184983015060425},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.48944106698036194},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4455745220184326},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.43868422508239746},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4167952537536621},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14714133739471436},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0754687488079071},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06785386800765991},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.03780379891395569},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C141071460","wikidata":"https://www.wikidata.org/wiki/Q40821","display_name":"Surgery","level":1,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/malq.202000062","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.202000062","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0942-5616","issn":["0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320326709","display_name":"Tianjin Municipal Education Commission","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":2,"referenced_works":["https://openalex.org/W2024078235","https://openalex.org/W2963245506"],"related_works":["https://openalex.org/W2366107444","https://openalex.org/W4388145910","https://openalex.org/W1976205134","https://openalex.org/W2381570729","https://openalex.org/W4248336175","https://openalex.org/W3009369890","https://openalex.org/W2031260042","https://openalex.org/W2391445434","https://openalex.org/W1631776469","https://openalex.org/W2950866767"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2],"paper,":[3],"we":[4,34],"construct":[5],"group":[6],"trees":[7],"of":[8,12],"tame":[9],"Polish":[10],"groups":[11],"the":[13,28,44],"form":[14],",":[15,41],"where":[16,23],"are":[17,25],"countable":[18],"abelian.":[19],"Our":[20],"first":[21],"example":[22],"all":[24],"torsion":[26],"reaches":[27],"known":[29,45],"upper":[30],"bound":[31,46],".":[32,47],"Next":[33],"give":[35],"examples":[36],"having":[37],"height":[38],"for":[39],"any":[40],"close":[42],"to":[43]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
