{"id":"https://openalex.org/W2033669077","doi":"https://doi.org/10.1080/10586458.1993.10504265","title":"Construction of the Fourfold Cover of the Mathieu Group M<sub>22</sub>","display_name":"Construction of the Fourfold Cover of the Mathieu Group M<sub>22</sub>","publication_year":1993,"publication_date":"1993-01-01","ids":{"openalex":"https://openalex.org/W2033669077","doi":"https://doi.org/10.1080/10586458.1993.10504265","mag":"2033669077"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.1993.10504265","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.1993.10504265","pdf_url":null,"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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034584456","display_name":"Ibrahim Suleiman","orcid":"https://orcid.org/0000-0002-7311-9227"},"institutions":[{"id":"https://openalex.org/I21173400","display_name":"Mutah University","ror":"https://ror.org/008g9ns82","country_code":"JO","type":"education","lineage":["https://openalex.org/I21173400"]}],"countries":["JO"],"is_corresponding":false,"raw_author_name":"Ibrahim A.I. Suleiman","raw_affiliation_strings":["Department of Mathematics and Statistics , Mu'tah University , Al-Karak, P.O. Box 7, Jordan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics , Mu'tah University , Al-Karak, P.O. Box 7, Jordan","institution_ids":["https://openalex.org/I21173400"]}]},{"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"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, The University of Birmingham , Edgbaston , Birmingham , B15 2TT , United Kingdom","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":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.18277311,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2","issue":"1","first_page":"11","last_page":"14"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9995999932289124,"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":0.9995999932289124,"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/T11680","display_name":"Advanced Algebra and Geometry","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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":0.9970999956130981,"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":0.906708300113678},{"id":"https://openalex.org/keywords/cover","display_name":"Cover (algebra)","score":0.708922266960144},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.6177038550376892},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.5494824647903442},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.530127227306366},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5031065344810486},{"id":"https://openalex.org/keywords/irreducible-representation","display_name":"Irreducible representation","score":0.4910249710083008},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.46700796484947205},{"id":"https://openalex.org/keywords/algebraic-number-field","display_name":"Algebraic number field","score":0.41766321659088135},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3939889669418335},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34592610597610474}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.906708300113678},{"id":"https://openalex.org/C2780428219","wikidata":"https://www.wikidata.org/wiki/Q16952335","display_name":"Cover (algebra)","level":2,"score":0.708922266960144},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.6177038550376892},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5494824647903442},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.530127227306366},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5031065344810486},{"id":"https://openalex.org/C142292226","wikidata":"https://www.wikidata.org/wiki/Q13690522","display_name":"Irreducible representation","level":2,"score":0.4910249710083008},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.46700796484947205},{"id":"https://openalex.org/C12657307","wikidata":"https://www.wikidata.org/wiki/Q616608","display_name":"Algebraic number field","level":2,"score":0.41766321659088135},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3939889669418335},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34592610597610474},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","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/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/10586458.1993.10504265","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.1993.10504265","pdf_url":null,"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"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.7799999713897705,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320339","display_name":"University of Birmingham","ror":"https://ror.org/03angcq70"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1576123934","https://openalex.org/W2064223620","https://openalex.org/W2079680360","https://openalex.org/W2083442986","https://openalex.org/W2091379301","https://openalex.org/W2126470725"],"related_works":["https://openalex.org/W623607250","https://openalex.org/W272374983","https://openalex.org/W4245505501","https://openalex.org/W4255529442","https://openalex.org/W4212927854","https://openalex.org/W1545246811","https://openalex.org/W4251798144","https://openalex.org/W4236448199","https://openalex.org/W4383877548","https://openalex.org/W4232403550"],"abstract_inverted_index":{"We":[0],"give":[1],"an":[2],"explicit":[3],"construction":[4],"for":[5],"the":[6,17,25],"two":[7],"faithful,":[8],"irreducible,":[9],"16-dimensional":[10],"representations":[11],"of":[12,28],"4\u00b7":[13,29],"M":[14,30],"22":[15],"over":[16,32],"field":[18],"GF(49).":[19],"Then":[20],"we":[21],"extend":[22],"them":[23],"to":[24],"32-dimensional":[26],"representation":[27],"22:2":[31],"GF(7).":[33],"Explicit":[34],"matrices":[35],"are":[36],"given":[37],"on":[38],"page":[39],"14.":[40]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}