{"id":"https://openalex.org/W2135337313","doi":"https://doi.org/10.1142/s0218196714500088","title":"Recognizing M<sub>10</sub> by spectrum in the class of all groups","display_name":"Recognizing M<sub>10</sub> by spectrum in the class of all groups","publication_year":2014,"publication_date":"2014-03-01","ids":{"openalex":"https://openalex.org/W2135337313","doi":"https://doi.org/10.1142/s0218196714500088","mag":"2135337313"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196714500088","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196714500088","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/A5018854814","display_name":"Enrico Jabara","orcid":"https://orcid.org/0000-0001-5913-1820"},"institutions":[{"id":"https://openalex.org/I149461666","display_name":"Ca' Foscari University of Venice","ror":"https://ror.org/04yzxz566","country_code":"IT","type":"education","lineage":["https://openalex.org/I149461666"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Enrico Jabara","raw_affiliation_strings":["Dipartimento di Filosofia e Beni Culturali, Universit\u00e0 di Ca' Foscari San Giobbe, Cannaregio 873 \u2013 30121 Venezia, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Filosofia e Beni Culturali, Universit\u00e0 di Ca' Foscari San Giobbe, Cannaregio 873 \u2013 30121 Venezia, Italy","institution_ids":["https://openalex.org/I149461666"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030222346","display_name":"\u0414. \u0412. \u041b\u044b\u0442\u043a\u0438\u043d\u0430","orcid":"https://orcid.org/0000-0003-3028-8490"},"institutions":[{"id":"https://openalex.org/I188973947","display_name":"Novosibirsk State University","ror":"https://ror.org/04t2ss102","country_code":"RU","type":"education","lineage":["https://openalex.org/I188973947"]},{"id":"https://openalex.org/I4210105890","display_name":"Siberian State University of Telecommunications and Information Science","ror":"https://ror.org/019vbp610","country_code":"RU","type":"education","lineage":["https://openalex.org/I4210105890"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Daria Lytkina","raw_affiliation_strings":["Novosibirsk State University of Telecommunications and Information Sciencies, Kirova 86, Novosibirsk, 630102, Russia","Novosibirsk State University, Pirogova Str. 2, Novosibirsk, 630090, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Novosibirsk State University of Telecommunications and Information Sciencies, Kirova 86, Novosibirsk, 630102, Russia","institution_ids":["https://openalex.org/I4210105890","https://openalex.org/I188973947"]},{"raw_affiliation_string":"Novosibirsk State University, Pirogova Str. 2, Novosibirsk, 630090, Russia","institution_ids":["https://openalex.org/I188973947"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080411616","display_name":"A. S. Mamontov","orcid":"https://orcid.org/0000-0002-0324-5287"},"institutions":[{"id":"https://openalex.org/I188973947","display_name":"Novosibirsk State University","ror":"https://ror.org/04t2ss102","country_code":"RU","type":"education","lineage":["https://openalex.org/I188973947"]},{"id":"https://openalex.org/I4210127387","display_name":"Siberian Branch of the Russian Academy of Sciences","ror":"https://ror.org/02frkq021","country_code":"RU","type":"funder","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210127387"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Andrey Mamontov","raw_affiliation_strings":["Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Acad. Koptyug pr. 4, Novosibirsk, 630090, Russia","Novosibirsk State University, Pirogova Str. 2, Novosibirsk, 630090, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Acad. Koptyug pr. 4, Novosibirsk, 630090, Russia","institution_ids":["https://openalex.org/I4210127387"]},{"raw_affiliation_string":"Novosibirsk State University, Pirogova Str. 2, Novosibirsk, 630090, Russia","institution_ids":["https://openalex.org/I188973947"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5018854814"],"corresponding_institution_ids":["https://openalex.org/I149461666"],"apc_list":null,"apc_paid":null,"fwci":1.0887,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.74673481,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"24","issue":"02","first_page":"113","last_page":"119"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9955000281333923,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9944999814033508,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9563579559326172},{"id":"https://openalex.org/keywords/spectrum","display_name":"Spectrum (functional analysis)","score":0.6272203326225281},{"id":"https://openalex.org/keywords/simple-group","display_name":"Simple group","score":0.5716783404350281},{"id":"https://openalex.org/keywords/transitive-relation","display_name":"Transitive relation","score":0.5528770685195923},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5458912253379822},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.5028912425041199},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4988105297088623},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.4721928834915161},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4478854537010193},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4397628605365753},{"id":"https://openalex.org/keywords/maximal-subgroup","display_name":"Maximal subgroup","score":0.42066073417663574},{"id":"https://openalex.org/keywords/finite-group","display_name":"Finite group","score":0.3945925235748291},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3259216547012329}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9563579559326172},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.6272203326225281},{"id":"https://openalex.org/C5383885","wikidata":"https://www.wikidata.org/wiki/Q571124","display_name":"Simple group","level":3,"score":0.5716783404350281},{"id":"https://openalex.org/C191399111","wikidata":"https://www.wikidata.org/wiki/Q64861","display_name":"Transitive relation","level":2,"score":0.5528770685195923},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5458912253379822},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.5028912425041199},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4988105297088623},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.4721928834915161},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4478854537010193},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4397628605365753},{"id":"https://openalex.org/C76739243","wikidata":"https://www.wikidata.org/wiki/Q16908484","display_name":"Maximal subgroup","level":4,"score":0.42066073417663574},{"id":"https://openalex.org/C2777404646","wikidata":"https://www.wikidata.org/wiki/Q1057968","display_name":"Finite group","level":3,"score":0.3945925235748291},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3259216547012329},{"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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218196714500088","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196714500088","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"},{"id":"pmh:oai:iris.unive.it:10278/39989","is_oa":false,"landing_page_url":"http://hdl.handle.net/10278/39989","pdf_url":null,"source":{"id":"https://openalex.org/S4306402336","display_name":"ARCA (Universit\u00e0 Ca' Foscari Venezia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149461666","host_organization_name":"Ca' Foscari University of Venice","host_organization_lineage":["https://openalex.org/I149461666"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1504456968","https://openalex.org/W1506371806","https://openalex.org/W1587860830","https://openalex.org/W1970594752","https://openalex.org/W1984492457","https://openalex.org/W1990707111","https://openalex.org/W2008735699","https://openalex.org/W2013826874","https://openalex.org/W2019026207","https://openalex.org/W2034309691","https://openalex.org/W2046818778","https://openalex.org/W2053027461","https://openalex.org/W2059084529","https://openalex.org/W2082266547","https://openalex.org/W2123875953","https://openalex.org/W2139287658","https://openalex.org/W2141074529","https://openalex.org/W4300712332"],"related_works":["https://openalex.org/W2078286598","https://openalex.org/W2612947017","https://openalex.org/W1987194282","https://openalex.org/W2048935891","https://openalex.org/W2016103954","https://openalex.org/W2127855886","https://openalex.org/W4300061967","https://openalex.org/W4291632742","https://openalex.org/W2811265190","https://openalex.org/W2076731853"],"abstract_inverted_index":{"We":[0],"prove":[1],"that":[2],"a":[3],"group":[4,35,48],"with":[5],"spectrum":[6],"{1,":[7],"2,":[8],"3,":[9],"4,":[10],"5,":[11],"8}":[12],"is":[13,17,31],"locally":[14],"finite":[15],"and":[16],"isomorphic":[18],"to":[19],"M":[20,24,49],"10":[21,25],",":[22],"where":[23],"=":[26],"A":[27],"6":[28],"\u22c5":[29],"2":[30],"the":[32,40,45],"3-transitive":[33],"Mathieu":[34],"of":[36,44],"degree":[37],"10,":[38],"i.e.":[39],"corresponding":[41],"maximal":[42],"subgroup":[43],"sporadic":[46],"simple":[47],"11":[50],".":[51]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2016-06-24T00:00:00"}