{"id":"https://openalex.org/W2963214586","doi":"https://doi.org/10.1007/s11786-018-0382-0","title":"Construction of the Outer Automorphism of $${\\mathcal {S}}_{6}$$ S 6 via a Complex Hadamard Matrix","display_name":"Construction of the Outer Automorphism of $${\\mathcal {S}}_{6}$$ S 6 via a Complex Hadamard Matrix","publication_year":2018,"publication_date":"2018-09-25","ids":{"openalex":"https://openalex.org/W2963214586","doi":"https://doi.org/10.1007/s11786-018-0382-0","mag":"2963214586"},"language":"en","primary_location":{"id":"doi:10.1007/s11786-018-0382-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11786-018-0382-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11786-018-0382-0.pdf","source":{"id":"https://openalex.org/S136038430","display_name":"Mathematics in Computer Science","issn_l":"1661-8270","issn":["1661-8270","1661-8289"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics in Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s11786-018-0382-0.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015476737","display_name":"Neil I. Gillespie","orcid":"https://orcid.org/0009-0006-9237-0042"},"institutions":[{"id":"https://openalex.org/I36234482","display_name":"University of Bristol","ror":"https://ror.org/0524sp257","country_code":"GB","type":"education","lineage":["https://openalex.org/I36234482"]},{"id":"https://openalex.org/I4210166532","display_name":"Heilbronn Institute for Mathematical Research","ror":"https://ror.org/05ttdgs63","country_code":"GB","type":"facility","lineage":["https://openalex.org/I4210166532"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Neil I. Gillespie","raw_affiliation_strings":["Heilbronn Institute for Mathematical Research, University of Bristol, Tyndall Ave, Bristol, BS8 1TH, UK"],"affiliations":[{"raw_affiliation_string":"Heilbronn Institute for Mathematical Research, University of Bristol, Tyndall Ave, Bristol, BS8 1TH, UK","institution_ids":["https://openalex.org/I4210166532","https://openalex.org/I36234482"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045472759","display_name":"Padraig \u00d3 Cath\u00e1in","orcid":"https://orcid.org/0000-0002-7963-9688"},"institutions":[{"id":"https://openalex.org/I107077323","display_name":"Worcester Polytechnic Institute","ror":"https://ror.org/05ejpqr48","country_code":"US","type":"education","lineage":["https://openalex.org/I107077323"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Padraig \u00d3 Cath\u00e1in","raw_affiliation_strings":["Department of Mathematical Sciences, Worcester Polytechnic Institute, 100 Institute Road, Worcester, MA, 01609, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Worcester Polytechnic Institute, 100 Institute Road, Worcester, MA, 01609, USA","institution_ids":["https://openalex.org/I107077323"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043525348","display_name":"Cheryl E. Praeger","orcid":"https://orcid.org/0000-0002-0881-7336"},"institutions":[{"id":"https://openalex.org/I177877127","display_name":"University of Western Australia","ror":"https://ror.org/047272k79","country_code":"AU","type":"education","lineage":["https://openalex.org/I177877127"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Cheryl E. Praeger","raw_affiliation_strings":["School of Mathematics and Statistics, University of Western Australia, 35 Stirling Highway, Crawley, WA, 6009, Australia"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, University of Western Australia, 35 Stirling Highway, Crawley, WA, 6009, Australia","institution_ids":["https://openalex.org/I177877127"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5015476737"],"corresponding_institution_ids":["https://openalex.org/I36234482","https://openalex.org/I4210166532"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.20807555,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"12","issue":"4","first_page":"453","last_page":"458"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9994999766349792,"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":0.9994999766349792,"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9986000061035156,"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/T11130","display_name":"Coding theory and cryptography","score":0.9979000091552734,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8012039661407471},{"id":"https://openalex.org/keywords/hadamard-transform","display_name":"Hadamard transform","score":0.6582394242286682},{"id":"https://openalex.org/keywords/automorphism","display_name":"Automorphism","score":0.6295079588890076},{"id":"https://openalex.org/keywords/complex-hadamard-matrix","display_name":"Complex Hadamard matrix","score":0.5843012928962708},{"id":"https://openalex.org/keywords/quaternion","display_name":"Quaternion","score":0.528690755367279},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.49694541096687317},{"id":"https://openalex.org/keywords/hadamards-maximal-determinant-problem","display_name":"Hadamard's maximal determinant problem","score":0.4950851500034332},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4835969805717468},{"id":"https://openalex.org/keywords/quaternion-algebra","display_name":"Quaternion algebra","score":0.44201263785362244},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4376533329486847},{"id":"https://openalex.org/keywords/hadamard-matrix","display_name":"Hadamard matrix","score":0.43323034048080444},{"id":"https://openalex.org/keywords/root-of-unity","display_name":"Root of unity","score":0.4286084473133087},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.402662992477417},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3711833953857422},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11963075399398804},{"id":"https://openalex.org/keywords/division-algebra","display_name":"Division algebra","score":0.1039169430732727},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09006825089454651},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08813318610191345},{"id":"https://openalex.org/keywords/filtered-algebra","display_name":"Filtered algebra","score":0.06023728847503662}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8012039661407471},{"id":"https://openalex.org/C60292330","wikidata":"https://www.wikidata.org/wiki/Q1014065","display_name":"Hadamard transform","level":2,"score":0.6582394242286682},{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.6295079588890076},{"id":"https://openalex.org/C6497535","wikidata":"https://www.wikidata.org/wiki/Q5156556","display_name":"Complex Hadamard matrix","level":4,"score":0.5843012928962708},{"id":"https://openalex.org/C200127275","wikidata":"https://www.wikidata.org/wiki/Q173853","display_name":"Quaternion","level":2,"score":0.528690755367279},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.49694541096687317},{"id":"https://openalex.org/C121334634","wikidata":"https://www.wikidata.org/wiki/Q5637579","display_name":"Hadamard's maximal determinant problem","level":5,"score":0.4950851500034332},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4835969805717468},{"id":"https://openalex.org/C151640129","wikidata":"https://www.wikidata.org/wiki/Q2835967","display_name":"Quaternion algebra","level":5,"score":0.44201263785362244},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4376533329486847},{"id":"https://openalex.org/C30463267","wikidata":"https://www.wikidata.org/wiki/Q1422682","display_name":"Hadamard matrix","level":3,"score":0.43323034048080444},{"id":"https://openalex.org/C206343339","wikidata":"https://www.wikidata.org/wiki/Q756747","display_name":"Root of unity","level":3,"score":0.4286084473133087},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.402662992477417},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3711833953857422},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11963075399398804},{"id":"https://openalex.org/C138354692","wikidata":"https://www.wikidata.org/wiki/Q1231309","display_name":"Division algebra","level":4,"score":0.1039169430732727},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09006825089454651},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08813318610191345},{"id":"https://openalex.org/C169171071","wikidata":"https://www.wikidata.org/wiki/Q5449241","display_name":"Filtered algebra","level":3,"score":0.06023728847503662},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/s11786-018-0382-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11786-018-0382-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11786-018-0382-0.pdf","source":{"id":"https://openalex.org/S136038430","display_name":"Mathematics in Computer Science","issn_l":"1661-8270","issn":["1661-8270","1661-8289"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:pure.atira.dk:openaire/e7468089-1c60-4b25-acc6-095d83cb2e79","is_oa":true,"landing_page_url":"https://admin.research-repository.uwa.edu.au/en/publications/e7468089-1c60-4b25-acc6-095d83cb2e79","pdf_url":null,"source":{"id":"https://openalex.org/S4306402523","display_name":"UWA Profiles and Research Repository (University of Western Australia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177877127","host_organization_name":"The University of Western Australia","host_organization_lineage":["https://openalex.org/I177877127"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Gillespie, N I, \u00d3 Cath\u00e1in, P & Praeger, C E 2018, 'Construction of the Outer Automorphism of S 6 via a Complex Hadamard Matrix', Mathematics in Computer Science, vol. 12, no. 4, pp. 453-458. https://doi.org/10.1007/s11786-018-0382-0","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:pure.atira.dk:publications/e7468089-1c60-4b25-acc6-095d83cb2e79","is_oa":true,"landing_page_url":"https://research-repository.uwa.edu.au/en/publications/e7468089-1c60-4b25-acc6-095d83cb2e79","pdf_url":null,"source":{"id":"https://openalex.org/S4306402492","display_name":"UWA Profiles and Research Repository (UWA)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177877127","host_organization_name":"The University of Western Australia","host_organization_lineage":["https://openalex.org/I177877127"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Gillespie , N I , \u00d3 Cath\u00e1in , P & Praeger , C E 2018 , ' Construction of the Outer Automorphism of S 6 via a Complex Hadamard Matrix ' , Mathematics in Computer Science , vol. 12 , no. 4 , pp. 453-458 . https://doi.org/10.1007/s11786-018-0382-0","raw_type":"article"},{"id":"pmh:oai:research-information.bris.ac.uk:openaire/2f671c8b-5903-4442-8de2-12aa0437a8f4","is_oa":true,"landing_page_url":"https://hdl.handle.net/1983/2f671c8b-5903-4442-8de2-12aa0437a8f4","pdf_url":null,"source":{"id":"https://openalex.org/S7407055359","display_name":"Explore Bristol Research","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Gillespie, N I, \u00d3 Cath\u00e1in, P & Praeger, C E 2018, 'Construction of the Outer Automorphism of S 6 via a Complex Hadamard Matrix', Mathematics in Computer Science, vol. 12, no. 4, pp. 453-458. https://doi.org/10.1007/s11786-018-0382-0","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:research-information.bris.ac.uk:openaire_cris_publications/2f671c8b-5903-4442-8de2-12aa0437a8f4","is_oa":true,"landing_page_url":"https://research-information.bris.ac.uk/en/publications/2f671c8b-5903-4442-8de2-12aa0437a8f4","pdf_url":null,"source":{"id":"https://openalex.org/S7407055359","display_name":"Explore Bristol Research","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Gillespie, N I, \u00d3 Cath\u00e1in, P & Praeger, C E 2018, 'Construction of the Outer Automorphism of S 6 via a Complex Hadamard Matrix', Mathematics in Computer Science, vol. 12, no. 4, pp. 453-458. https://doi.org/10.1007/s11786-018-0382-0","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:research-information.bris.ac.uk:publications/2f671c8b-5903-4442-8de2-12aa0437a8f4","is_oa":false,"landing_page_url":"http://www.scopus.com/inward/record.url?scp=85054037444&partnerID=8YFLogxK","pdf_url":null,"source":{"id":"https://openalex.org/S4306400895","display_name":"Bristol Research (University of Bristol)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I36234482","host_organization_name":"University of Bristol","host_organization_lineage":["https://openalex.org/I36234482"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":{"id":"doi:10.1007/s11786-018-0382-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11786-018-0382-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11786-018-0382-0.pdf","source":{"id":"https://openalex.org/S136038430","display_name":"Mathematics in Computer Science","issn_l":"1661-8270","issn":["1661-8270","1661-8289"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics in Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.7799999713897705}],"awards":[{"id":"https://openalex.org/G1649238962","display_name":null,"funder_award_id":"#276031","funder_id":"https://openalex.org/F4320321108","funder_display_name":"Academy of Finland"},{"id":"https://openalex.org/G1658314987","display_name":null,"funder_award_id":"FF0776186","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"},{"id":"https://openalex.org/G3140063607","display_name":null,"funder_award_id":"IC1104","funder_id":"https://openalex.org/F4320320301","funder_display_name":"European Science Foundation"},{"id":"https://openalex.org/G3899283809","display_name":null,"funder_award_id":"283437","funder_id":"https://openalex.org/F4320321108","funder_display_name":"Academy of Finland"},{"id":"https://openalex.org/G494584871","display_name":null,"funder_award_id":"283262","funder_id":"https://openalex.org/F4320321108","funder_display_name":"Academy of Finland"},{"id":"https://openalex.org/G6248054081","display_name":null,"funder_award_id":"#282938","funder_id":"https://openalex.org/F4320321108","funder_display_name":"Academy of Finland"},{"id":"https://openalex.org/G639098277","display_name":null,"funder_award_id":"#283262","funder_id":"https://openalex.org/F4320321108","funder_display_name":"Academy of Finland"},{"id":"https://openalex.org/G74066322","display_name":null,"funder_award_id":"276031","funder_id":"https://openalex.org/F4320321108","funder_display_name":"Academy of Finland"},{"id":"https://openalex.org/G7809262030","display_name":null,"funder_award_id":"282938","funder_id":"https://openalex.org/F4320321108","funder_display_name":"Academy of Finland"},{"id":"https://openalex.org/G831552235","display_name":null,"funder_award_id":"DP120103067","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"},{"id":"https://openalex.org/G8758199286","display_name":null,"funder_award_id":"COST Action IC1104","funder_id":"https://openalex.org/F4320320301","funder_display_name":"European Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320320301","display_name":"European Science Foundation","ror":"https://ror.org/04esata81"},{"id":"https://openalex.org/F4320320360","display_name":"University of Bristol","ror":"https://ror.org/0524sp257"},{"id":"https://openalex.org/F4320320971","display_name":"Monash University","ror":"https://ror.org/02bfwt286"},{"id":"https://openalex.org/F4320321108","display_name":"Academy of Finland","ror":"https://ror.org/05k73zm37"},{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2963214586.pdf","grobid_xml":"https://content.openalex.org/works/W2963214586.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W593444048","https://openalex.org/W642718757","https://openalex.org/W1535858642","https://openalex.org/W1854352062","https://openalex.org/W1992540683","https://openalex.org/W1995990042","https://openalex.org/W2086464814","https://openalex.org/W2089103008","https://openalex.org/W2126280911","https://openalex.org/W2320053188","https://openalex.org/W2322463333","https://openalex.org/W2322838054","https://openalex.org/W2324225555","https://openalex.org/W2506311038","https://openalex.org/W2916635977","https://openalex.org/W2990034309","https://openalex.org/W4253687655","https://openalex.org/W4285719527","https://openalex.org/W4292408570"],"related_works":["https://openalex.org/W1976224891","https://openalex.org/W2026768906","https://openalex.org/W2355675451","https://openalex.org/W1971692815","https://openalex.org/W4226106482","https://openalex.org/W2138472192","https://openalex.org/W2124522323","https://openalex.org/W2027233216","https://openalex.org/W3091117907","https://openalex.org/W2003940980"],"abstract_inverted_index":{"We":[0],"give":[1],"a":[2,19],"new":[3],"construction":[4,17],"of":[5,9,23,29,34],"the":[6,10,32,38],"outer":[7],"automorphism":[8],"symmetric":[11],"group":[12],"on":[13],"six":[14,25],"points.":[15],"Our":[16],"features":[18],"complex":[20],"Hadamard":[21],"matrix":[22],"order":[24],"containing":[26],"third":[27],"roots":[28],"unity":[30],"and":[31],"algebra":[33],"split":[35],"quaternions":[36],"over":[37],"real":[39],"numbers.":[40]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2019-07-30T00:00:00"}