{"id":"https://openalex.org/W2593283872","doi":"https://doi.org/10.1142/s0218196714500040","title":"IMAGES OF WORD MAPS IN ALMOST SIMPLE GROUPS AND QUASISIMPLE GROUPS","display_name":"IMAGES OF WORD MAPS IN ALMOST SIMPLE GROUPS AND QUASISIMPLE GROUPS","publication_year":2014,"publication_date":"2014-02-01","ids":{"openalex":"https://openalex.org/W2593283872","doi":"https://doi.org/10.1142/s0218196714500040","mag":"2593283872"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196714500040","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196714500040","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and 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/A5013197869","display_name":"Matthew Levy","orcid":null},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"MATTHEW LEVY","raw_affiliation_strings":["Department of Mathematics, Imperial College London, London, SW7 2AZ, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Imperial College London, London, SW7 2AZ, UK","institution_ids":["https://openalex.org/I47508984"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5013197869"],"corresponding_institution_ids":["https://openalex.org/I47508984"],"apc_list":null,"apc_paid":null,"fwci":0.5355,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.66881594,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"24","issue":"01","first_page":"47","last_page":"58"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9980999827384949,"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":0.9980999827384949,"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/T11130","display_name":"Coding theory and cryptography","score":0.9847999811172485,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9666000008583069,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9083033800125122},{"id":"https://openalex.org/keywords/simple-group","display_name":"Simple group","score":0.6417175531387329},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.6372933387756348},{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.6146957874298096},{"id":"https://openalex.org/keywords/word","display_name":"Word (group theory)","score":0.5994219183921814},{"id":"https://openalex.org/keywords/automorphism","display_name":"Automorphism","score":0.5882741212844849},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5587030053138733},{"id":"https://openalex.org/keywords/classification-of-finite-simple-groups","display_name":"Classification of finite simple groups","score":0.5569161772727966},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.474059522151947},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.45614856481552124},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3261297345161438},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32187992334365845},{"id":"https://openalex.org/keywords/group-of-lie-type","display_name":"Group of Lie type","score":0.30989718437194824},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.29505234956741333},{"id":"https://openalex.org/keywords/group-theory","display_name":"Group theory","score":0.18004554510116577},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08042386174201965}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9083033800125122},{"id":"https://openalex.org/C5383885","wikidata":"https://www.wikidata.org/wiki/Q571124","display_name":"Simple group","level":3,"score":0.6417175531387329},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.6372933387756348},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.6146957874298096},{"id":"https://openalex.org/C90805587","wikidata":"https://www.wikidata.org/wiki/Q10944557","display_name":"Word (group theory)","level":2,"score":0.5994219183921814},{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.5882741212844849},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5587030053138733},{"id":"https://openalex.org/C63388996","wikidata":"https://www.wikidata.org/wiki/Q1340623","display_name":"Classification of finite simple groups","level":4,"score":0.5569161772727966},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.474059522151947},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.45614856481552124},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3261297345161438},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32187992334365845},{"id":"https://openalex.org/C51997251","wikidata":"https://www.wikidata.org/wiki/Q1406425","display_name":"Group of Lie type","level":3,"score":0.30989718437194824},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.29505234956741333},{"id":"https://openalex.org/C81651864","wikidata":"https://www.wikidata.org/wiki/Q874429","display_name":"Group theory","level":2,"score":0.18004554510116577},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08042386174201965},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218196714500040","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196714500040","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.550000011920929}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320283","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1987904603","https://openalex.org/W1989356084","https://openalex.org/W2026394746","https://openalex.org/W2059314328","https://openalex.org/W2064651061","https://openalex.org/W2069141119","https://openalex.org/W2078590838","https://openalex.org/W2114103774","https://openalex.org/W2324705588","https://openalex.org/W2963071007","https://openalex.org/W4212890072","https://openalex.org/W4213060864"],"related_works":["https://openalex.org/W1986567673","https://openalex.org/W2594545647","https://openalex.org/W4378909075","https://openalex.org/W132011110","https://openalex.org/W4301243201","https://openalex.org/W2086372144","https://openalex.org/W1965718848","https://openalex.org/W2076386836","https://openalex.org/W2599379601","https://openalex.org/W3018921015"],"abstract_inverted_index":{"It":[0],"has":[1],"been":[2],"shown":[3],"by":[4],"Lubotzky":[5,40],"in":[6],"[10]":[7],"that":[8],"the":[9,24,43],"set":[10,25],"of":[11,14,26,30,39,46],"verbal":[12,44],"images":[13,45],"a":[15],"fixed":[16],"non-abelian":[17],"finite":[18],"simple":[19,49],"group":[20],"G":[21],"is":[22],"precisely":[23],"automorphism":[27],"invariant":[28],"subsets":[29],"G.":[31],"Here,":[32],"we":[33],"use":[34],"similar":[35],"methods":[36],"to":[37,41],"those":[38],"determine":[42],"certain":[47],"almost":[48],"groups":[50],"and":[51],"quasisimple":[52],"groups.":[53]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}