{"id":"https://openalex.org/W2077481626","doi":"https://doi.org/10.1007/bf01375467","title":"Some non-existence results on divisible difference sets","display_name":"Some non-existence results on divisible difference sets","publication_year":1991,"publication_date":"1991-03-01","ids":{"openalex":"https://openalex.org/W2077481626","doi":"https://doi.org/10.1007/bf01375467","mag":"2077481626"},"language":"en","primary_location":{"id":"doi:10.1007/bf01375467","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01375467","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"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":"Combinatorica","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/A5081943054","display_name":"K. T. Arasu","orcid":"https://orcid.org/0000-0001-7261-8772"},"institutions":[{"id":"https://openalex.org/I19648265","display_name":"Wright State University","ror":"https://ror.org/04qk6pt94","country_code":"US","type":"education","lineage":["https://openalex.org/I19648265"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"K. T. Arasu","raw_affiliation_strings":["Department of Mathematics and Statistics, Wright State University, 45435, Dayton, Ohio, USA","Department of Mathematics and Statistics, Wright State University, Dayton, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Wright State University, 45435, Dayton, Ohio, USA","institution_ids":["https://openalex.org/I19648265"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, Wright State University, Dayton, USA#TAB#","institution_ids":["https://openalex.org/I19648265"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101998998","display_name":"James A. Davis","orcid":"https://orcid.org/0000-0001-9208-7016"},"institutions":[{"id":"https://openalex.org/I158012942","display_name":"University of Richmond","ror":"https://ror.org/03y71xh61","country_code":"US","type":"education","lineage":["https://openalex.org/I158012942"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"James Davis","raw_affiliation_strings":["Dept. of Mathematics and Computer Science, University of Richmond, 23173, Richmond, Virginia, USA","Dept. of Mathematics and Computer Science, University of Richmond, Richmond, USA"],"affiliations":[{"raw_affiliation_string":"Dept. of Mathematics and Computer Science, University of Richmond, 23173, Richmond, Virginia, USA","institution_ids":["https://openalex.org/I158012942"]},{"raw_affiliation_string":"Dept. of Mathematics and Computer Science, University of Richmond, Richmond, USA","institution_ids":["https://openalex.org/I158012942"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021380531","display_name":"Dieter Jungnickel","orcid":"https://orcid.org/0000-0001-5615-6934"},"institutions":[{"id":"https://openalex.org/I200763008","display_name":"University of Giessen","ror":"https://ror.org/033eqas34","country_code":"DE","type":"education","lineage":["https://openalex.org/I200763008"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Dieter Jungnickel","raw_affiliation_strings":["Mathematisches Institut, Justus-Liebig-Universit\u00e4t Giessen, Arndtstr. 2, D-6300, Giessen, Germany","Mathematisches Institut, Justus Liebig Universit\u00e4t Giessen, Giessen, Germany"],"affiliations":[{"raw_affiliation_string":"Mathematisches Institut, Justus-Liebig-Universit\u00e4t Giessen, Arndtstr. 2, D-6300, Giessen, Germany","institution_ids":["https://openalex.org/I200763008"]},{"raw_affiliation_string":"Mathematisches Institut, Justus Liebig Universit\u00e4t Giessen, Giessen, Germany","institution_ids":["https://openalex.org/I200763008"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013787536","display_name":"Alexander Pott","orcid":"https://orcid.org/0000-0002-1125-1003"},"institutions":[{"id":"https://openalex.org/I200763008","display_name":"University of Giessen","ror":"https://ror.org/033eqas34","country_code":"DE","type":"education","lineage":["https://openalex.org/I200763008"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Alexander Pott","raw_affiliation_strings":["Mathematisches Institut, Justus-Liebig-Universit\u00e4t Giessen, Arndtstr. 2, D-6300, Giessen, Germany","Mathematisches Institut, Justus Liebig Universit\u00e4t Giessen, Giessen, Germany"],"affiliations":[{"raw_affiliation_string":"Mathematisches Institut, Justus-Liebig-Universit\u00e4t Giessen, Arndtstr. 2, D-6300, Giessen, Germany","institution_ids":["https://openalex.org/I200763008"]},{"raw_affiliation_string":"Mathematisches Institut, Justus Liebig Universit\u00e4t Giessen, Giessen, Germany","institution_ids":["https://openalex.org/I200763008"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5081943054"],"corresponding_institution_ids":["https://openalex.org/I19648265"],"apc_list":null,"apc_paid":null,"fwci":2.0023,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.85631608,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"11","issue":"1","first_page":"1","last_page":"8"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9998000264167786,"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/T11130","display_name":"Coding theory and cryptography","score":0.9508000016212463,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10849","display_name":"Finite Group Theory Research","score":0.9422000050544739,"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/mathematics","display_name":"Mathematics","score":0.9491358995437622},{"id":"https://openalex.org/keywords/sylow-theorems","display_name":"Sylow theorems","score":0.7901209592819214},{"id":"https://openalex.org/keywords/difference-set","display_name":"Difference set","score":0.7155457139015198},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6661043167114258},{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.6628569960594177},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.6522256135940552},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.43390393257141113},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3684875965118408},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.25609731674194336},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2199118733406067},{"id":"https://openalex.org/keywords/finite-group","display_name":"Finite group","score":0.09934580326080322}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9491358995437622},{"id":"https://openalex.org/C124535231","wikidata":"https://www.wikidata.org/wiki/Q1057919","display_name":"Sylow theorems","level":4,"score":0.7901209592819214},{"id":"https://openalex.org/C188204562","wikidata":"https://www.wikidata.org/wiki/Q5275281","display_name":"Difference set","level":3,"score":0.7155457139015198},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6661043167114258},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.6628569960594177},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.6522256135940552},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.43390393257141113},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3684875965118408},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.25609731674194336},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2199118733406067},{"id":"https://openalex.org/C2777404646","wikidata":"https://www.wikidata.org/wiki/Q1057968","display_name":"Finite group","level":3,"score":0.09934580326080322},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"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},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/bf01375467","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01375467","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"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":"Combinatorica","raw_type":"journal-article"},{"id":"pmh:oai:uni-augsburg.opus-bayern.de:65085","is_oa":false,"landing_page_url":"https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/65085","pdf_url":null,"source":{"id":"https://openalex.org/S4306400930","display_name":"OPUS (Augsburg University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I119916105","host_organization_name":"Augsburg University","host_organization_lineage":["https://openalex.org/I119916105"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5600000023841858,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1593761715","https://openalex.org/W1968431332","https://openalex.org/W1977438870","https://openalex.org/W1978648140","https://openalex.org/W1988974345","https://openalex.org/W1990902984","https://openalex.org/W2003088159","https://openalex.org/W2014534905","https://openalex.org/W2016196742","https://openalex.org/W2023057408","https://openalex.org/W2029700997","https://openalex.org/W2036384162","https://openalex.org/W2046091559","https://openalex.org/W2068564568","https://openalex.org/W2077396982","https://openalex.org/W2318348892","https://openalex.org/W2319828648","https://openalex.org/W2326961766","https://openalex.org/W2490728539","https://openalex.org/W2611298788","https://openalex.org/W3138350084","https://openalex.org/W4212957675"],"related_works":["https://openalex.org/W1992826204","https://openalex.org/W2138081888","https://openalex.org/W2036560720","https://openalex.org/W2131735107","https://openalex.org/W1612462974","https://openalex.org/W2068350082","https://openalex.org/W1975966127","https://openalex.org/W2373466296","https://openalex.org/W2326121634","https://openalex.org/W2950504103"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}