{"id":"https://openalex.org/W2024004408","doi":"https://doi.org/10.1080/10586458.1994.10504285","title":"Matrix generators for the Harada\u2013Norton group","display_name":"Matrix generators for the Harada\u2013Norton group","publication_year":1994,"publication_date":"1994-01-01","ids":{"openalex":"https://openalex.org/W2024004408","doi":"https://doi.org/10.1080/10586458.1994.10504285","mag":"2024004408"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.1994.10504285","is_oa":true,"landing_page_url":"https://doi.org/10.1080/10586458.1994.10504285","pdf_url":"https://www.tandfonline.com/doi/abs/10.1080/10586458.1994.10504285","source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.tandfonline.com/doi/abs/10.1080/10586458.1994.10504285","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054876644","display_name":"A. J. E. Ryba","orcid":null},"institutions":[{"id":"https://openalex.org/I102461120","display_name":"Marquette University","ror":"https://ror.org/04gr4te78","country_code":"US","type":"education","lineage":["https://openalex.org/I102461120"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alexander J.E. Ryba","raw_affiliation_strings":["Department of Mathematics, Statistics and Computer Science , Marquette University , Milwaukee , WI , 53233 , USA E-mail: alexr@sylow.mscs.mu.edu"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Statistics and Computer Science , Marquette University , Milwaukee , WI , 53233 , USA E-mail: alexr@sylow.mscs.mu.edu","institution_ids":["https://openalex.org/I102461120"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082796090","display_name":"Robert A. Wilson","orcid":"https://orcid.org/0000-0002-0726-2009"},"institutions":[{"id":"https://openalex.org/I79619799","display_name":"University of Birmingham","ror":"https://ror.org/03angcq70","country_code":"GB","type":"education","lineage":["https://openalex.org/I79619799"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Robert A. Wilson","raw_affiliation_strings":["School of Mathematics and Statistics, The University of Birmingham , Edgbaston , Birmingham , B15 2TT , United Kingdom E-mail: RA.Wilson@bham.ac.uk"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, The University of Birmingham , Edgbaston , Birmingham , B15 2TT , United Kingdom E-mail: RA.Wilson@bham.ac.uk","institution_ids":["https://openalex.org/I79619799"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7646,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.62098299,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"3","issue":"2","first_page":"137","last_page":"145"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9987000226974487,"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":0.9987000226974487,"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/T11157","display_name":"Chronic Lymphocytic Leukemia Research","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2716","display_name":"Genetics"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9968000054359436,"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":0.8295655250549316},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.6651690602302551},{"id":"https://openalex.org/keywords/automorphism","display_name":"Automorphism","score":0.5968737602233887},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5601605176925659},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.5068967938423157},{"id":"https://openalex.org/keywords/automorphism-group","display_name":"Automorphism group","score":0.49976062774658203},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.43933409452438354},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.43678486347198486},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.4309236407279968},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.41663485765457153},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3418579697608948},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09233987331390381},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06878438591957092}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8295655250549316},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.6651690602302551},{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.5968737602233887},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5601605176925659},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.5068967938423157},{"id":"https://openalex.org/C2988750069","wikidata":"https://www.wikidata.org/wiki/Q60790315","display_name":"Automorphism group","level":3,"score":0.49976062774658203},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.43933409452438354},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.43678486347198486},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.4309236407279968},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.41663485765457153},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3418579697608948},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09233987331390381},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06878438591957092},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1080/10586458.1994.10504285","is_oa":true,"landing_page_url":"https://doi.org/10.1080/10586458.1994.10504285","pdf_url":"https://www.tandfonline.com/doi/abs/10.1080/10586458.1994.10504285","source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.em/1062620907","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.em/1062620907","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"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":"","raw_type":"Text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.57.1847","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.57.1847","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.expmath.com/restricted/3/3.2/wilson.ps.gz","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1080/10586458.1994.10504285","is_oa":true,"landing_page_url":"https://doi.org/10.1080/10586458.1994.10504285","pdf_url":"https://www.tandfonline.com/doi/abs/10.1080/10586458.1994.10504285","source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2024004408.pdf","grobid_xml":"https://content.openalex.org/works/W2024004408.grobid-xml"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W57207164","https://openalex.org/W1572931715","https://openalex.org/W1973885976","https://openalex.org/W1979121869","https://openalex.org/W2008882425","https://openalex.org/W2036650919","https://openalex.org/W2048298530","https://openalex.org/W2064223620","https://openalex.org/W2079381588","https://openalex.org/W2083442986","https://openalex.org/W2091379301","https://openalex.org/W4241722382"],"related_works":["https://openalex.org/W2255528727","https://openalex.org/W1985218657","https://openalex.org/W2136357364","https://openalex.org/W2094532370","https://openalex.org/W2029328554","https://openalex.org/W3126773016","https://openalex.org/W3216076173","https://openalex.org/W3098790080","https://openalex.org/W2167154330","https://openalex.org/W2070174257"],"abstract_inverted_index":{"We":[0,15],"show":[1],"how":[2],"to":[3],"construct":[4],"133":[5,7],"\u00d7":[6],"matrices":[8],"over":[9],"GF(5)":[10],"generating":[11],"the":[12,32,35],"Harada\u2013Norton":[13],"group.":[14,22],"also":[16],"obtain":[17],"generators":[18],"for":[19],"its":[20],"automorphism":[21],"For":[23],"many":[24],"purposes":[25],"this":[26],"permits":[27],"much":[28],"faster":[29],"calculations":[30],"in":[31],"group":[33],"than":[34],"alternative":[36],"of":[37,51],"permutations":[38],"on":[39],"1,140,000":[40],"points.":[41],"More":[42],"importantly,":[43],"it":[44],"reduces":[45],"storage":[46],"requirements":[47],"by":[48],"a":[49],"factor":[50],"around":[52],"500.":[53]},"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
