{"id":"https://openalex.org/W1977449924","doi":"https://doi.org/10.1016/0097-3165(91)90032-c","title":"A geometric characterization of dowling lattices","display_name":"A geometric characterization of dowling lattices","publication_year":1991,"publication_date":"1991-03-01","ids":{"openalex":"https://openalex.org/W1977449924","doi":"https://doi.org/10.1016/0097-3165(91)90032-c","mag":"1977449924"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1016/0097-3165(91)90032-c","pdf_url":null,"source":{"id":"https://openalex.org/S128556326","display_name":"Journal of Combinatorial Theory Series A","issn_l":"0097-3165","issn":["0097-3165","1096-0899"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/0097-3165(91)90032-c","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040315652","display_name":"Joseph E. Bonin","orcid":"https://orcid.org/0000-0003-1230-4637"},"institutions":[{"id":"https://openalex.org/I107672454","display_name":"Dartmouth College","ror":"https://ror.org/049s0rh22","country_code":"US","type":"education","lineage":["https://openalex.org/I107672454"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Joseph E Bonin","raw_affiliation_strings":["Department of Mathematics, Dartmouth College, Hanover, New Hampshire 03755 USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Dartmouth College, Hanover, New Hampshire 03755 USA","institution_ids":["https://openalex.org/I107672454"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036438245","display_name":"Kenneth P. Bogart","orcid":null},"institutions":[{"id":"https://openalex.org/I107672454","display_name":"Dartmouth College","ror":"https://ror.org/049s0rh22","country_code":"US","type":"education","lineage":["https://openalex.org/I107672454"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kenneth P Bogart","raw_affiliation_strings":["Department of Mathematics, Dartmouth College, Hanover, New Hampshire 03755 USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Dartmouth College, Hanover, New Hampshire 03755 USA","institution_ids":["https://openalex.org/I107672454"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3320,"currency":"USD","value_usd":3320,"provenance":"doaj"},"apc_paid":{"value":3320,"currency":"USD","value_usd":3320,"provenance":"doaj"},"fwci":0.477,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":8,"citation_normalized_percentile":{"value":0.658776,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":76,"max":77},"biblio":{"volume":"56","issue":"2","first_page":"195","last_page":"202"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9944,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9944,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9149,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9009,"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/characterization","display_name":"Characterization","score":0.8683934},{"id":"https://openalex.org/keywords/corollary","display_name":"Corollary","score":0.8337928}],"concepts":[{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.8683934},{"id":"https://openalex.org/C2780012671","wikidata":"https://www.wikidata.org/wiki/Q1343870","display_name":"Corollary","level":2,"score":0.8337928},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.6100413},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49127668},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.48103243},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.26527947},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10736105},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.1016/0097-3165(91)90032-c","pdf_url":null,"source":{"id":"https://openalex.org/S128556326","display_name":"Journal of Combinatorial Theory Series A","issn_l":"0097-3165","issn":["0097-3165","1096-0899"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1016/0097-3165(91)90032-c","pdf_url":null,"source":{"id":"https://openalex.org/S128556326","display_name":"Journal of Combinatorial Theory Series A","issn_l":"0097-3165","issn":["0097-3165","1096-0899"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":4,"referenced_works":["https://openalex.org/W1563877288","https://openalex.org/W1996750483","https://openalex.org/W2039598981","https://openalex.org/W2081802266"],"related_works":["https://openalex.org/W4316469561","https://openalex.org/W3195376785","https://openalex.org/W3013941779","https://openalex.org/W2947625790","https://openalex.org/W2388301251","https://openalex.org/W2376029318","https://openalex.org/W2370435933","https://openalex.org/W1998659141","https://openalex.org/W1975877275","https://openalex.org/W138938013"],"abstract_inverted_index":{"The":[0],"Dowling":[1,34],"lattices":[2,35],"based":[3],"on":[4],"finite":[5],"groups":[6],"are":[7],"generalizations":[8],"of":[9,16,20,32,38,41,53,64,70,79],"the":[10,17,33,39,51,71],"partition":[11,72],"lattices.":[12,24],"They":[13],"form":[14],"one":[15],"two":[18],"classes":[19],"modularly":[21],"complemented":[22],"geometric":[23],"In":[25],"this":[26,54],"paper,":[27],"we":[28],"present":[29],"a":[30,61,77],"characterization":[31,55,69],"in":[36],"terms":[37],"existence":[40],"special":[42],"bases":[43],"and":[44,66],"their":[45],"weight":[46],"functions.":[47],"We":[48],"show":[49],"that":[50],"hypotheses":[52],"allow":[56],"us":[57],"to":[58,60],"appeal":[59],"powerful":[62],"result":[63],"Kahn":[65],"Kung.":[67],"A":[68],"lattices,":[73],"\u03a0n,":[74],"follows":[75],"as":[76],"corollary":[78],"our":[80],"main":[81],"result.":[82]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W1977449924","counts_by_year":[],"updated_date":"2024-12-16T06:09:12.485525","created_date":"2016-06-24"}