{"id":"https://openalex.org/W2058386414","doi":"https://doi.org/10.1016/s0747-7171(88)80025-7","title":"An algorithm for determining the simplicity of a modular group representation","display_name":"An algorithm for determining the simplicity of a modular group representation","publication_year":1988,"publication_date":"1988-08-01","ids":{"openalex":"https://openalex.org/W2058386414","doi":"https://doi.org/10.1016/s0747-7171(88)80025-7","mag":"2058386414"},"language":"en","primary_location":{"id":"doi:10.1016/s0747-7171(88)80025-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0747-7171(88)80025-7","pdf_url":null,"source":{"id":"https://openalex.org/S18904315","display_name":"Journal of Symbolic Computation","issn_l":"0747-7171","issn":["0747-7171","1095-855X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic Computation","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/A5005160731","display_name":"Gerhard O. Michler","orcid":null},"institutions":[{"id":"https://openalex.org/I62318514","display_name":"University of Duisburg-Essen","ror":"https://ror.org/04mz5ra38","country_code":"DE","type":"education","lineage":["https://openalex.org/I62318514"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Gerhard O. Michler","raw_affiliation_strings":["Department of Mathematics, University of Essen, 4300 Essen, Federal Republic of Germany","Department of Mathematics, University of Essen, 4300 Essen, Federal Republic of Germany#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Essen, 4300 Essen, Federal Republic of Germany","institution_ids":["https://openalex.org/I62318514"]},{"raw_affiliation_string":"Department of Mathematics, University of Essen, 4300 Essen, Federal Republic of Germany#TAB#","institution_ids":["https://openalex.org/I62318514"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5005160731"],"corresponding_institution_ids":["https://openalex.org/I62318514"],"apc_list":{"value":2770,"currency":"USD","value_usd":2770},"apc_paid":null,"fwci":0.5785,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.75882211,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"6","issue":"1","first_page":"105","last_page":"111"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9843000173568726,"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"}},"topics":[{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9843000173568726,"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9693999886512756,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9366000294685364,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9209562540054321},{"id":"https://openalex.org/keywords/simplicity","display_name":"Simplicity","score":0.7246983051300049},{"id":"https://openalex.org/keywords/corollary","display_name":"Corollary","score":0.6581598520278931},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.6214985251426697},{"id":"https://openalex.org/keywords/modular-group","display_name":"Modular group","score":0.6079795956611633},{"id":"https://openalex.org/keywords/ring","display_name":"Ring (chemistry)","score":0.5714337825775146},{"id":"https://openalex.org/keywords/commutative-ring","display_name":"Commutative ring","score":0.5384224653244019},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.53159099817276},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.5236734747886658},{"id":"https://openalex.org/keywords/matrix-group","display_name":"Matrix group","score":0.5214064121246338},{"id":"https://openalex.org/keywords/matrix-representation","display_name":"Matrix representation","score":0.46206459403038025},{"id":"https://openalex.org/keywords/group-ring","display_name":"Group ring","score":0.43296363949775696},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.41408371925354004},{"id":"https://openalex.org/keywords/polynomial-ring","display_name":"Polynomial ring","score":0.41396546363830566},{"id":"https://openalex.org/keywords/modular-design","display_name":"Modular design","score":0.4131013751029968},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4127901792526245},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.40612825751304626},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.3571794331073761},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.3321024477481842},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.321340411901474},{"id":"https://openalex.org/keywords/symmetric-group","display_name":"Symmetric group","score":0.16114920377731323},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10181611776351929}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9209562540054321},{"id":"https://openalex.org/C2776372474","wikidata":"https://www.wikidata.org/wiki/Q508291","display_name":"Simplicity","level":2,"score":0.7246983051300049},{"id":"https://openalex.org/C2780012671","wikidata":"https://www.wikidata.org/wiki/Q1343870","display_name":"Corollary","level":2,"score":0.6581598520278931},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6214985251426697},{"id":"https://openalex.org/C181633103","wikidata":"https://www.wikidata.org/wiki/Q1834342","display_name":"Modular group","level":2,"score":0.6079795956611633},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.5714337825775146},{"id":"https://openalex.org/C161491579","wikidata":"https://www.wikidata.org/wiki/Q858656","display_name":"Commutative ring","level":3,"score":0.5384224653244019},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.53159099817276},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.5236734747886658},{"id":"https://openalex.org/C24276413","wikidata":"https://www.wikidata.org/wiki/Q1050120","display_name":"Matrix group","level":3,"score":0.5214064121246338},{"id":"https://openalex.org/C103275481","wikidata":"https://www.wikidata.org/wiki/Q6787889","display_name":"Matrix representation","level":3,"score":0.46206459403038025},{"id":"https://openalex.org/C76572486","wikidata":"https://www.wikidata.org/wiki/Q2602722","display_name":"Group ring","level":3,"score":0.43296363949775696},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.41408371925354004},{"id":"https://openalex.org/C9485509","wikidata":"https://www.wikidata.org/wiki/Q1455652","display_name":"Polynomial ring","level":3,"score":0.41396546363830566},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.4131013751029968},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4127901792526245},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.40612825751304626},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.3571794331073761},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.3321024477481842},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.321340411901474},{"id":"https://openalex.org/C128622974","wikidata":"https://www.wikidata.org/wiki/Q849512","display_name":"Symmetric group","level":2,"score":0.16114920377731323},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10181611776351929},{"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0747-7171(88)80025-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0747-7171(88)80025-7","pdf_url":null,"source":{"id":"https://openalex.org/S18904315","display_name":"Journal of Symbolic Computation","issn_l":"0747-7171","issn":["0747-7171","1095-855X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W181977719","https://openalex.org/W1504896368","https://openalex.org/W1975652733","https://openalex.org/W2031566596","https://openalex.org/W2039660064","https://openalex.org/W4206615368"],"related_works":["https://openalex.org/W4230599681","https://openalex.org/W1996149172","https://openalex.org/W2020194905","https://openalex.org/W4231872586","https://openalex.org/W2417312525","https://openalex.org/W2185278323","https://openalex.org/W2041631324","https://openalex.org/W2107817854","https://openalex.org/W2022354771","https://openalex.org/W4234710277"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}
