{"id":"https://openalex.org/W2083077795","doi":"https://doi.org/10.1142/s0218196706002937","title":"ALTERNATING GROUPS AS AUTOMORPHISM GROUPS OF RIEMANN SURFACES","display_name":"ALTERNATING GROUPS AS AUTOMORPHISM GROUPS OF RIEMANN SURFACES","publication_year":2006,"publication_date":"2006-02-01","ids":{"openalex":"https://openalex.org/W2083077795","doi":"https://doi.org/10.1142/s0218196706002937","mag":"2083077795"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196706002937","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196706002937","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/A5006677446","display_name":"Jos\u00e9 Javier Etayo Gordejuela","orcid":null},"institutions":[{"id":"https://openalex.org/I121748325","display_name":"Universidad Complutense de Madrid","ror":"https://ror.org/02p0gd045","country_code":"ES","type":"education","lineage":["https://openalex.org/I121748325"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"J. J. ETAYO GORDEJUELA","raw_affiliation_strings":["Departamento de \u00c1lgebra, Universidad Complutense, 28040-Madrid, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de \u00c1lgebra, Universidad Complutense, 28040-Madrid, Spain","institution_ids":["https://openalex.org/I121748325"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031875872","display_name":"Ernesto Mart\u00ednez","orcid":"https://orcid.org/0000-0002-2622-1579"},"institutions":[{"id":"https://openalex.org/I178450904","display_name":"Universidad Nacional de Educaci\u00f3n a Distancia","ror":"https://ror.org/02msb5n36","country_code":"ES","type":"education","lineage":["https://openalex.org/I178450904"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"E. MART\u00cdNEZ","raw_affiliation_strings":["Departamento de Matem\u00e1ticas Fundamentales, Universidad Nacional de Educaci\u00f3n a Distancia, 28040-Madrid, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas Fundamentales, Universidad Nacional de Educaci\u00f3n a Distancia, 28040-Madrid, Spain","institution_ids":["https://openalex.org/I178450904"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5006677446"],"corresponding_institution_ids":["https://openalex.org/I121748325"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.17684211,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"16","issue":"01","first_page":"91","last_page":"98"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9916999936103821,"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":0.9916999936103821,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9901000261306763,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9835000038146973,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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":0.9403219223022461},{"id":"https://openalex.org/keywords/automorphism","display_name":"Automorphism","score":0.7470701932907104},{"id":"https://openalex.org/keywords/alternating-group","display_name":"Alternating group","score":0.663982629776001},{"id":"https://openalex.org/keywords/riemann-surface","display_name":"Riemann surface","score":0.551994264125824},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5425484776496887},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5302497744560242},{"id":"https://openalex.org/keywords/genus","display_name":"Genus","score":0.4894205629825592},{"id":"https://openalex.org/keywords/outer-automorphism-group","display_name":"Outer automorphism group","score":0.48870232701301575},{"id":"https://openalex.org/keywords/p-group","display_name":"p-group","score":0.45606979727745056},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.44566643238067627},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.42653363943099976},{"id":"https://openalex.org/keywords/automorphism-group","display_name":"Automorphism group","score":0.4131712019443512},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3284362554550171},{"id":"https://openalex.org/keywords/botany","display_name":"Botany","score":0.08513706922531128},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.038455307483673096}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9403219223022461},{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.7470701932907104},{"id":"https://openalex.org/C38847919","wikidata":"https://www.wikidata.org/wiki/Q438814","display_name":"Alternating group","level":3,"score":0.663982629776001},{"id":"https://openalex.org/C18556879","wikidata":"https://www.wikidata.org/wiki/Q753035","display_name":"Riemann surface","level":2,"score":0.551994264125824},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5425484776496887},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5302497744560242},{"id":"https://openalex.org/C157369684","wikidata":"https://www.wikidata.org/wiki/Q34740","display_name":"Genus","level":2,"score":0.4894205629825592},{"id":"https://openalex.org/C7619685","wikidata":"https://www.wikidata.org/wiki/Q3630548","display_name":"Outer automorphism group","level":4,"score":0.48870232701301575},{"id":"https://openalex.org/C160826032","wikidata":"https://www.wikidata.org/wiki/Q286972","display_name":"p-group","level":3,"score":0.45606979727745056},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.44566643238067627},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.42653363943099976},{"id":"https://openalex.org/C2988750069","wikidata":"https://www.wikidata.org/wiki/Q60790315","display_name":"Automorphism group","level":3,"score":0.4131712019443512},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3284362554550171},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.08513706922531128},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.038455307483673096},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218196706002937","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196706002937","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W2007368607","https://openalex.org/W2023016602","https://openalex.org/W2093108193","https://openalex.org/W2110975323","https://openalex.org/W2132817200","https://openalex.org/W4205370632"],"related_works":["https://openalex.org/W2350677492","https://openalex.org/W1614511193","https://openalex.org/W2061854565","https://openalex.org/W2131709418","https://openalex.org/W2002275436","https://openalex.org/W4381192120","https://openalex.org/W1502933463","https://openalex.org/W2182384342","https://openalex.org/W1993225640","https://openalex.org/W1837952753"],"abstract_inverted_index":{"In":[0],"this":[1],"work":[2],"we":[3,45],"give":[4],"pairs":[5],"of":[6,29,53,67,70],"generators":[7],"(x,":[8],"y)":[9],"for":[10],"the":[11,26,39,51,61,64,68],"alternating":[12],"groups":[13,55,62],"A":[14,35,48],"n":[15,19,36],",":[16],"5":[17],"\u2264":[18,20],"19,":[21],"such":[22],"that":[23,47,56],"they":[24],"determine":[25],"minimal":[27],"genus":[28],"a":[30],"Riemann":[31],"surface":[32],"on":[33,75],"which":[34],"acts":[37],"as":[38],"automorphism":[40,72],"group.":[41],"Using":[42],"these":[43,54],"results":[44],"prove":[46],"15":[49],"is":[50,57],"unique":[52],"an":[58,71],"H*-group,":[59],"i.e.,":[60],"achieving":[63],"upper":[65],"bound":[66],"order":[69],"group":[73],"acting":[74],"non-orientable":[76],"unbordered":[77],"surfaces.":[78]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}
