{"id":"https://openalex.org/W2605886701","doi":"https://doi.org/10.1007/s00373-019-02017-2","title":"Difference Sets Disjoint from a Subgroup","display_name":"Difference Sets Disjoint from a Subgroup","publication_year":2019,"publication_date":"2019-02-23","ids":{"openalex":"https://openalex.org/W2605886701","doi":"https://doi.org/10.1007/s00373-019-02017-2","mag":"2605886701"},"language":"en","primary_location":{"id":"doi:10.1007/s00373-019-02017-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-019-02017-2","pdf_url":null,"source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"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":"Graphs and Combinatorics","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/1703.06979","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076000624","display_name":"Courtney Hoagland","orcid":null},"institutions":[{"id":"https://openalex.org/I100005738","display_name":"Brigham Young University","ror":"https://ror.org/047rhhm47","country_code":"US","type":"education","lineage":["https://openalex.org/I100005738"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Courtney Hoagland","raw_affiliation_strings":["Department of Mathematics, Brigham Young University, Provo, UT, 84602, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Brigham Young University, Provo, UT, 84602, USA","institution_ids":["https://openalex.org/I100005738"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027867740","display_name":"Stephen P. Humphries","orcid":"https://orcid.org/0000-0003-2038-2694"},"institutions":[{"id":"https://openalex.org/I100005738","display_name":"Brigham Young University","ror":"https://ror.org/047rhhm47","country_code":"US","type":"education","lineage":["https://openalex.org/I100005738"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Stephen P. Humphries","raw_affiliation_strings":["Department of Mathematics, Brigham Young University, Provo, UT, 84602, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Brigham Young University, Provo, UT, 84602, USA","institution_ids":["https://openalex.org/I100005738"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Nathan Nicholson","orcid":null},"institutions":[{"id":"https://openalex.org/I100005738","display_name":"Brigham Young University","ror":"https://ror.org/047rhhm47","country_code":"US","type":"education","lineage":["https://openalex.org/I100005738"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Nathan Nicholson","raw_affiliation_strings":["Department of Mathematics, Brigham Young University, Provo, UT, 84602, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Brigham Young University, Provo, UT, 84602, USA","institution_ids":["https://openalex.org/I100005738"]}]},{"author_position":"last","author":{"id":null,"display_name":"Seth Poulsen","orcid":null},"institutions":[{"id":"https://openalex.org/I100005738","display_name":"Brigham Young University","ror":"https://ror.org/047rhhm47","country_code":"US","type":"education","lineage":["https://openalex.org/I100005738"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Seth Poulsen","raw_affiliation_strings":["Department of Mathematics, Brigham Young University, Provo, UT, 84602, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Brigham Young University, Provo, UT, 84602, USA","institution_ids":["https://openalex.org/I100005738"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5076000624"],"corresponding_institution_ids":["https://openalex.org/I100005738"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01647819,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"35","issue":"3","first_page":"579","last_page":"597"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9970999956130981,"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/T10849","display_name":"Finite Group Theory Research","score":0.9970999956130981,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9846000075340271,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9751999974250793,"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/combinatorics","display_name":"Combinatorics","score":0.7690224647521973},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7436847686767578},{"id":"https://openalex.org/keywords/multiset","display_name":"Multiset","score":0.6396995782852173},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.6063493490219116},{"id":"https://openalex.org/keywords/normal-subgroup","display_name":"Normal subgroup","score":0.5990586876869202},{"id":"https://openalex.org/keywords/subgroup","display_name":"Subgroup","score":0.4833483397960663},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.4735105335712433},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.46419206261634827},{"id":"https://openalex.org/keywords/index-of-a-subgroup","display_name":"Index of a subgroup","score":0.43970364332199097},{"id":"https://openalex.org/keywords/finite-group","display_name":"Finite group","score":0.421550452709198},{"id":"https://openalex.org/keywords/identity","display_name":"Identity (music)","score":0.4122403562068939},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3272640109062195},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13250631093978882}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7690224647521973},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7436847686767578},{"id":"https://openalex.org/C2779623528","wikidata":"https://www.wikidata.org/wiki/Q864377","display_name":"Multiset","level":2,"score":0.6396995782852173},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.6063493490219116},{"id":"https://openalex.org/C105515060","wikidata":"https://www.wikidata.org/wiki/Q743179","display_name":"Normal subgroup","level":3,"score":0.5990586876869202},{"id":"https://openalex.org/C30236536","wikidata":"https://www.wikidata.org/wiki/Q466109","display_name":"Subgroup","level":4,"score":0.4833483397960663},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.4735105335712433},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.46419206261634827},{"id":"https://openalex.org/C55792552","wikidata":"https://www.wikidata.org/wiki/Q1464168","display_name":"Index of a subgroup","level":5,"score":0.43970364332199097},{"id":"https://openalex.org/C2777404646","wikidata":"https://www.wikidata.org/wiki/Q1057968","display_name":"Finite group","level":3,"score":0.421550452709198},{"id":"https://openalex.org/C2778355321","wikidata":"https://www.wikidata.org/wiki/Q17079427","display_name":"Identity (music)","level":2,"score":0.4122403562068939},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3272640109062195},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13250631093978882},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s00373-019-02017-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-019-02017-2","pdf_url":null,"source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"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":"Graphs and Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1703.06979","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1703.06979","pdf_url":"https://arxiv.org/pdf/1703.06979","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":null,"raw_type":"text"},{"id":"mag:2605886701","is_oa":true,"landing_page_url":"http://arxiv.org/pdf/1703.06979.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.1703.06979","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1703.06979","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:1703.06979","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1703.06979","pdf_url":"https://arxiv.org/pdf/1703.06979","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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1042566487","https://openalex.org/W1965411348","https://openalex.org/W1972189544","https://openalex.org/W1975183968","https://openalex.org/W1980673366","https://openalex.org/W2029700997","https://openalex.org/W2061313044","https://openalex.org/W2064137393","https://openalex.org/W2065103680","https://openalex.org/W2106356780","https://openalex.org/W2159074829","https://openalex.org/W2555978364","https://openalex.org/W2914887745","https://openalex.org/W4205236482","https://openalex.org/W4231452565","https://openalex.org/W6600632366"],"related_works":["https://openalex.org/W1759332673","https://openalex.org/W3014611959","https://openalex.org/W2963815281","https://openalex.org/W2260058838","https://openalex.org/W2029028516","https://openalex.org/W1600715007","https://openalex.org/W1865570157","https://openalex.org/W2919155904","https://openalex.org/W1549323762","https://openalex.org/W2338335267","https://openalex.org/W2549066109","https://openalex.org/W1512267590","https://openalex.org/W3022461255","https://openalex.org/W3030031513","https://openalex.org/W2117874187","https://openalex.org/W2963554469","https://openalex.org/W1972667611","https://openalex.org/W2060650400","https://openalex.org/W3082604332","https://openalex.org/W1967677608"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-03-25T23:56:10.502304","created_date":"2025-10-10T00:00:00"}
