{"id":"https://openalex.org/W3121533726","doi":"https://doi.org/10.1007/s00200-020-00485-1","title":"A comparison of group algebras of dihedral and quaternion groups","display_name":"A comparison of group algebras of dihedral and quaternion groups","publication_year":2021,"publication_date":"2021-01-19","ids":{"openalex":"https://openalex.org/W3121533726","doi":"https://doi.org/10.1007/s00200-020-00485-1","mag":"3121533726"},"language":"en","primary_location":{"id":"doi:10.1007/s00200-020-00485-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00200-020-00485-1","pdf_url":null,"source":{"id":"https://openalex.org/S44535979","display_name":"Applicable Algebra in Engineering Communication and Computing","issn_l":"0938-1279","issn":["0938-1279","1432-0622"],"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":"Applicable Algebra in Engineering, Communication and Computing","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/A5066613568","display_name":"Leo Creedon","orcid":"https://orcid.org/0000-0002-8798-7455"},"institutions":[{"id":"https://openalex.org/I82288201","display_name":"Institute of Technology Sligo","ror":"https://ror.org/032fvf508","country_code":"IE","type":"education","lineage":["https://openalex.org/I82288201"]}],"countries":["IE"],"is_corresponding":false,"raw_author_name":"Leo Creedon","raw_affiliation_strings":["Institute of Technology Sligo, Sligo, Ireland"],"affiliations":[{"raw_affiliation_string":"Institute of Technology Sligo, Sligo, Ireland","institution_ids":["https://openalex.org/I82288201"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083187321","display_name":"Kieran Hughes","orcid":"https://orcid.org/0000-0001-6178-5954"},"institutions":[{"id":"https://openalex.org/I82288201","display_name":"Institute of Technology Sligo","ror":"https://ror.org/032fvf508","country_code":"IE","type":"education","lineage":["https://openalex.org/I82288201"]}],"countries":["IE"],"is_corresponding":false,"raw_author_name":"Kieran Hughes","raw_affiliation_strings":["Institute of Technology Sligo, Sligo, Ireland"],"affiliations":[{"raw_affiliation_string":"Institute of Technology Sligo, Sligo, Ireland","institution_ids":["https://openalex.org/I82288201"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010031419","display_name":"Steve Szabo","orcid":"https://orcid.org/0000-0002-0523-5162"},"institutions":[{"id":"https://openalex.org/I110325482","display_name":"Eastern Kentucky University","ror":"https://ror.org/012xks909","country_code":"US","type":"education","lineage":["https://openalex.org/I110325482"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Steve Szabo","raw_affiliation_strings":["Department of Mathematics and Statistics, Eastern Kentucky University, Richmond, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Eastern Kentucky University, Richmond, USA","institution_ids":["https://openalex.org/I110325482"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5010031419"],"corresponding_institution_ids":["https://openalex.org/I110325482"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.2936,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.73174458,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"32","issue":"3","first_page":"245","last_page":"264"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9998999834060669,"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":0.9998999834060669,"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9997000098228455,"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":0.9991000294685364,"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/mathematics","display_name":"Mathematics","score":0.7906526327133179},{"id":"https://openalex.org/keywords/quaternion","display_name":"Quaternion","score":0.7714682817459106},{"id":"https://openalex.org/keywords/dihedral-group","display_name":"Dihedral group","score":0.7311052680015564},{"id":"https://openalex.org/keywords/isomorphism","display_name":"Isomorphism (crystallography)","score":0.6159924268722534},{"id":"https://openalex.org/keywords/noncommutative-geometry","display_name":"Noncommutative geometry","score":0.6053582429885864},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.585296094417572},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.570123553276062},{"id":"https://openalex.org/keywords/counterexample","display_name":"Counterexample","score":0.49824094772338867},{"id":"https://openalex.org/keywords/dicyclic-group","display_name":"Dicyclic group","score":0.4928877353668213},{"id":"https://openalex.org/keywords/quaternion-group","display_name":"Quaternion group","score":0.466033399105072},{"id":"https://openalex.org/keywords/ring","display_name":"Ring (chemistry)","score":0.46109262108802795},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.45873868465423584},{"id":"https://openalex.org/keywords/cyclic-group","display_name":"Cyclic group","score":0.43285125494003296},{"id":"https://openalex.org/keywords/dihedral-angle","display_name":"Dihedral angle","score":0.4260202944278717},{"id":"https://openalex.org/keywords/automorphism","display_name":"Automorphism","score":0.4103623330593109},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.40258246660232544},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.297249972820282},{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.14932182431221008},{"id":"https://openalex.org/keywords/alternating-group","display_name":"Alternating group","score":0.0748867392539978}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7906526327133179},{"id":"https://openalex.org/C200127275","wikidata":"https://www.wikidata.org/wiki/Q173853","display_name":"Quaternion","level":2,"score":0.7714682817459106},{"id":"https://openalex.org/C72409365","wikidata":"https://www.wikidata.org/wiki/Q558339","display_name":"Dihedral group","level":3,"score":0.7311052680015564},{"id":"https://openalex.org/C203436722","wikidata":"https://www.wikidata.org/wiki/Q902950","display_name":"Isomorphism (crystallography)","level":3,"score":0.6159924268722534},{"id":"https://openalex.org/C68797384","wikidata":"https://www.wikidata.org/wiki/Q2746792","display_name":"Noncommutative geometry","level":2,"score":0.6053582429885864},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.585296094417572},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.570123553276062},{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.49824094772338867},{"id":"https://openalex.org/C130630368","wikidata":"https://www.wikidata.org/wiki/Q3777914","display_name":"Dicyclic group","level":5,"score":0.4928877353668213},{"id":"https://openalex.org/C48756202","wikidata":"https://www.wikidata.org/wiki/Q1335680","display_name":"Quaternion group","level":4,"score":0.466033399105072},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.46109262108802795},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.45873868465423584},{"id":"https://openalex.org/C20725272","wikidata":"https://www.wikidata.org/wiki/Q245462","display_name":"Cyclic group","level":3,"score":0.43285125494003296},{"id":"https://openalex.org/C89025888","wikidata":"https://www.wikidata.org/wiki/Q911907","display_name":"Dihedral angle","level":4,"score":0.4260202944278717},{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.4103623330593109},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.40258246660232544},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.297249972820282},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.14932182431221008},{"id":"https://openalex.org/C38847919","wikidata":"https://www.wikidata.org/wiki/Q438814","display_name":"Alternating group","level":3,"score":0.0748867392539978},{"id":"https://openalex.org/C32909587","wikidata":"https://www.wikidata.org/wiki/Q11369","display_name":"Molecule","level":2,"score":0.0},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C115624301","wikidata":"https://www.wikidata.org/wiki/Q895901","display_name":"Crystal structure","level":2,"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/C112887158","wikidata":"https://www.wikidata.org/wiki/Q169324","display_name":"Hydrogen bond","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00200-020-00485-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00200-020-00485-1","pdf_url":null,"source":{"id":"https://openalex.org/S44535979","display_name":"Applicable Algebra in Engineering Communication and Computing","issn_l":"0938-1279","issn":["0938-1279","1432-0622"],"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":"Applicable Algebra in Engineering, Communication and Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W12346489","https://openalex.org/W198579786","https://openalex.org/W1538757060","https://openalex.org/W1620362832","https://openalex.org/W1859319369","https://openalex.org/W1873451416","https://openalex.org/W1973996144","https://openalex.org/W1975032772","https://openalex.org/W1982721680","https://openalex.org/W1997274322","https://openalex.org/W2024103434","https://openalex.org/W2030503542","https://openalex.org/W2043696210","https://openalex.org/W2054086420","https://openalex.org/W2055979645","https://openalex.org/W2082574177","https://openalex.org/W2084558160","https://openalex.org/W2088351284","https://openalex.org/W2331932053","https://openalex.org/W2341487121","https://openalex.org/W2500706095","https://openalex.org/W2903035944","https://openalex.org/W2940586131","https://openalex.org/W2958684415","https://openalex.org/W2963275052","https://openalex.org/W2963639199","https://openalex.org/W3024260737","https://openalex.org/W3045433013","https://openalex.org/W3099647487","https://openalex.org/W3114355654"],"related_works":["https://openalex.org/W2360655504","https://openalex.org/W2102603366","https://openalex.org/W2016239033","https://openalex.org/W2093507912","https://openalex.org/W4309581513","https://openalex.org/W2376052286","https://openalex.org/W1972798665","https://openalex.org/W4210449759","https://openalex.org/W2054086420","https://openalex.org/W3121533726"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}