{"id":"https://openalex.org/W2283129607","doi":"https://doi.org/10.48550/arxiv.1601.04566","title":"Automorphisms of fusion systems of finite simple groups of Lie type","display_name":"Automorphisms of fusion systems of finite simple groups of Lie type","publication_year":2016,"publication_date":"2016-01-18","ids":{"openalex":"https://openalex.org/W2283129607","doi":"https://doi.org/10.48550/arxiv.1601.04566","mag":"2283129607"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:1601.04566","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1601.04566","pdf_url":"https://arxiv.org/pdf/1601.04566","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1601.04566","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5075630848","display_name":"Carles Broto","orcid":"https://orcid.org/0000-0001-7899-4306","observed_orcids":["https://orcid.org/0000-0001-7899-4306"]},"institutions":[{"id":"https://openalex.org/I123044942","display_name":"Universitat Aut\u00f2noma de Barcelona","ror":"https://ror.org/052g8jq94","country_code":"ES","type":"education","lineage":["https://openalex.org/I123044942"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Broto, Carles","raw_affiliation_strings":["Departament de Matem\u00e0tiques , Universitat Aut\u00f2noma de Barcelona , E-08193 Bellaterra , Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departament de Matem\u00e0tiques , Universitat Aut\u00f2noma de Barcelona , E-08193 Bellaterra , Spain","institution_ids":["https://openalex.org/I123044942"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101691364","display_name":"Jesper Michael M\u00f8ller","orcid":"https://orcid.org/0000-0003-4053-2418","observed_orcids":["https://orcid.org/0000-0003-4053-2418"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M\u00f8ller, Jesper M.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5090070078","display_name":"Bob Oliver","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I123044942","display_name":"Universitat Aut\u00f2noma de Barcelona","ror":"https://ror.org/052g8jq94","country_code":"ES","type":"education","lineage":["https://openalex.org/I123044942"]},{"id":"https://openalex.org/I4210102686","display_name":"Laboratoire Analyse, G\u00e9om\u00e9trie et Applications","ror":"https://ror.org/018nzqy79","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210091279","https://openalex.org/I4210102686","https://openalex.org/I4210141950","https://openalex.org/I48825208"]}],"countries":["ES","FR"],"is_corresponding":false,"raw_author_name":"Oliver, Bob","raw_affiliation_strings":["Departament de Matem\u00e0tiques , Universitat Aut\u00f2noma de Barcelona , E-08193 Bellaterra , Spain","LAGA - Laboratoire Analyse, G\u00e9om\u00e9trie et Applications (Institut Galil\u00e9e, 99 avenue Jean-Baptiste Cl\u00e9ment, F-93430, Villetaneuse, France - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departament de Matem\u00e0tiques , Universitat Aut\u00f2noma de Barcelona , E-08193 Bellaterra , Spain","institution_ids":["https://openalex.org/I123044942"]},{"raw_affiliation_string":"LAGA - Laboratoire Analyse, G\u00e9om\u00e9trie et Applications (Institut Galil\u00e9e, 99 avenue Jean-Baptiste Cl\u00e9ment, F-93430, Villetaneuse, France - France)","institution_ids":["https://openalex.org/I4210102686"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":16,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9951000213623047,"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":0.9951000213623047,"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":0.002199999988079071,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.000699999975040555,"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/fusion-systems","display_name":"fusion systems","score":0.9229999780654907},{"id":"https://openalex.org/keywords/linking-systems","display_name":"linking systems","score":0.9229999780654907},{"id":"https://openalex.org/keywords/automorphism-groups","display_name":"automorphism groups","score":0.9049999713897705},{"id":"https://openalex.org/keywords/finite-simple-groups-of-lie-type","display_name":"finite simple groups of Lie type","score":0.9890000224113464},{"id":"https://openalex.org/keywords/outer-automorphisms","display_name":"outer automorphisms","score":0.8040000200271606},{"id":"https://openalex.org/keywords/defining-characteristics","display_name":"defining characteristics","score":0.8539999723434448},{"id":"https://openalex.org/keywords/p-completion","display_name":"p-completion","score":0.6150000095367432},{"id":"https://openalex.org/keywords/classifying-spaces","display_name":"classifying spaces","score":0.7799999713897705},{"id":"https://openalex.org/keywords/self-homotopy-equivalences","display_name":"self-homotopy equivalences","score":0.8640000224113464}],"concepts":[{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.7847054600715637},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.7216876149177551},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.6250258088111877},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.6143144369125366},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5906348824501038},{"id":"https://openalex.org/C187915474","wikidata":"https://www.wikidata.org/wiki/Q622679","display_name":"Lie group","level":2,"score":0.5241789221763611},{"id":"https://openalex.org/C63388996","wikidata":"https://www.wikidata.org/wiki/Q1340623","display_name":"Classification of finite simple groups","level":4,"score":0.49427175521850586},{"id":"https://openalex.org/C158525013","wikidata":"https://www.wikidata.org/wiki/Q2593739","display_name":"Fusion","level":2,"score":0.45120134949684143},{"id":"https://openalex.org/C22365015","wikidata":"https://www.wikidata.org/wiki/Q1003162","display_name":"Simple Lie group","level":3,"score":0.4480224847793579},{"id":"https://openalex.org/C51997251","wikidata":"https://www.wikidata.org/wiki/Q1406425","display_name":"Group of Lie type","level":3,"score":0.4390271008014679},{"id":"https://openalex.org/C51568863","wikidata":"https://www.wikidata.org/wiki/Q664495","display_name":"Lie algebra","level":2,"score":0.42196884751319885},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3535280227661133},{"id":"https://openalex.org/C81651864","wikidata":"https://www.wikidata.org/wiki/Q874429","display_name":"Group theory","level":2,"score":0.1721782684326172},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.14362597465515137},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.13703399896621704},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0833447277545929},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.04687109589576721},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.04538226127624512}],"mesh":[],"locations_count":5,"locations":[{"id":"pmh:oai:arXiv.org:1601.04566","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1601.04566","pdf_url":"https://arxiv.org/pdf/1601.04566","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"pmh:oai:HAL:hal-03840871v1","doi":null,"is_oa":false,"landing_page_url":"https://hal.science/hal-03840871","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Memoirs of the American Mathematical Society, 2019","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:cds.cern.ch:2760793","doi":null,"is_oa":false,"landing_page_url":"http://cds.cern.ch/record/2760793","pdf_url":null,"source":{"id":"https://openalex.org/S4306402195","display_name":"CERN Document Server (European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/bd2b9771-6010-4133-810b-bb1f1d46245e","doi":null,"is_oa":false,"landing_page_url":"https://researchprofiles.ku.dk/da/publications/bd2b9771-6010-4133-810b-bb1f1d46245e","pdf_url":null,"source":{"id":"https://openalex.org/S4306401983","display_name":"Research at the University of Copenhagen (University of Copenhagen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I124055696","host_organization_name":"University of Copenhagen","host_organization_lineage":["https://openalex.org/I124055696"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Broto , C , M\u00f8ller , J M & Oliver , B 2019 , Automorphisms of Fusion Systems of Finite Simple Groups of Lie Type . Memoirs of the American Mathematical Society , no. 1267 , vol. 262 , American Mathematical Society , Providence, RI . < http://www.ams.org/books/memo/1267/ >","raw_type":"book"},{"id":"doi:10.48550/arxiv.1601.04566","doi":"https://doi.org/10.48550/arxiv.1601.04566","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1601.04566","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1601.04566","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1601.04566","pdf_url":"https://arxiv.org/pdf/1601.04566","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G192652545","display_name":null,"funder_award_id":"MTM2010\u201020692","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G2854975249","display_name":null,"funder_award_id":"UMR 7539","funder_id":"https://openalex.org/F4320322892","funder_display_name":"Centre National de la Recherche Scientifique"},{"id":"https://openalex.org/G3458400328","display_name":null,"funder_award_id":"MTM2013-42293-P","funder_id":"https://openalex.org/F4320320943","funder_display_name":"Danmarks Grundforskningsfond"},{"id":"https://openalex.org/G5578595331","display_name":null,"funder_award_id":"MTM2013-42293-P","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G8265653657","display_name":"Center for Symmetry and Deformation (SYM)","funder_award_id":"DNRF92","funder_id":"https://openalex.org/F4320320943","funder_display_name":"Danmarks Grundforskningsfond"}],"funders":[{"id":"https://openalex.org/F4320310490","display_name":"Villum Fonden","ror":"https://ror.org/007ww2d15"},{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320320943","display_name":"Danmarks Grundforskningsfond","ror":"https://ror.org/00znyv691"},{"id":"https://openalex.org/F4320320945","display_name":"K\u00f8benhavns Universitet","ror":"https://ror.org/035b05819"},{"id":"https://openalex.org/F4320322892","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73"},{"id":"https://openalex.org/F4320322930","display_name":"Ministerio de Ciencia e Innovaci\u00f3n","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2283129607.pdf","grobid_xml":"https://content.openalex.org/works/W2283129607.grobid-xml"},"referenced_works_count":49,"referenced_works":["https://openalex.org/W87121454","https://openalex.org/W585933500","https://openalex.org/W1493862249","https://openalex.org/W1507799342","https://openalex.org/W1528521152","https://openalex.org/W1530075677","https://openalex.org/W1556069388","https://openalex.org/W1567200859","https://openalex.org/W1570047016","https://openalex.org/W1576790646","https://openalex.org/W1584561919","https://openalex.org/W1589940326","https://openalex.org/W1602350096","https://openalex.org/W1607402086","https://openalex.org/W1972887940","https://openalex.org/W1976582008","https://openalex.org/W1977338085","https://openalex.org/W1979142405","https://openalex.org/W1991856842","https://openalex.org/W2000392160","https://openalex.org/W2003095911","https://openalex.org/W2020898611","https://openalex.org/W2021984564","https://openalex.org/W2029947184","https://openalex.org/W2035036994","https://openalex.org/W2048694537","https://openalex.org/W2057906308","https://openalex.org/W2058916165","https://openalex.org/W2059230795","https://openalex.org/W2061469694","https://openalex.org/W2061974292","https://openalex.org/W2069045587","https://openalex.org/W2071329003","https://openalex.org/W2114448696","https://openalex.org/W2138873446","https://openalex.org/W2158313574","https://openalex.org/W2171820708","https://openalex.org/W2187714265","https://openalex.org/W2264978380","https://openalex.org/W2285513221","https://openalex.org/W2329099374","https://openalex.org/W2482011721","https://openalex.org/W2505242481","https://openalex.org/W2593335421","https://openalex.org/W2800687337","https://openalex.org/W2962962466","https://openalex.org/W3022097150","https://openalex.org/W3106314739","https://openalex.org/W4247479803"],"related_works":["https://openalex.org/W2996478601","https://openalex.org/W2560111274","https://openalex.org/W2339742856","https://openalex.org/W4300518913","https://openalex.org/W7099596654","https://openalex.org/W4414790630","https://openalex.org/W3036369033","https://openalex.org/W2963134063","https://openalex.org/W2977221189","https://openalex.org/W4404393789"],"abstract_inverted_index":{"For":[0],"a":[1,9,47,73,107,110],"finite":[2],"group":[3,30,108,111],"G":[4,24,32],"of":[5,17,23,31,40,51,84,106,112,124,127,134],"Lie":[6],"type":[7],"and":[8,20,114],"prime":[10],"p,":[11],"we":[12],"compare":[13],"the":[14,18,28,37,58,61,76,85,103,125,128],"automorphism":[15,29],"groups":[16],"fusion":[19,86],"linking":[21,88],"systems":[22],"at":[25],"p":[26,35,54],"with":[27,46],"itself.":[33],"When":[34,53],"is":[36,55,63,90,95],"defining":[38,59],"characteristic":[39],"G,":[41],"they":[42],"are":[43],"all":[44],"isomorphic,":[45],"very":[48],"short":[49],"list":[50],"exceptions.":[52],"different":[56],"from":[57,79],"characteristic,":[60],"situation":[62],"much":[64],"more":[65],"complex,":[66],"but":[67],"can":[68],"always":[69],"be":[70],"reduced":[71],"to":[72,81,119],"case":[74],"where":[75],"natural":[77],"map":[78],"Out(G)":[80],"outer":[82],"automorphisms":[83],"or":[87],"system":[89],"split":[91],"surjective.":[92],"This":[93],"work":[94],"motivated":[96],"in":[97,115,132],"part":[98,116],"by":[99,109,117],"questions":[100],"involving":[101],"extending":[102],"local":[104],"structure":[105],"automorphisms,":[113],"wanting":[118],"describe":[120],"self":[121],"homotopy":[122],"equivalences":[123],"p-completion":[126],"classifying":[129],"space":[130],"BG":[131],"terms":[133],"Out(G).":[135]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2016-06-24T00:00:00"}
