{"id":"https://openalex.org/W2281340993","doi":"https://doi.org/10.48550/arxiv.1508.00359","title":"Automorphisms and cohomology","display_name":"Automorphisms and cohomology","publication_year":2015,"publication_date":"2015-08-03","ids":{"openalex":"https://openalex.org/W2281340993","doi":"https://doi.org/10.48550/arxiv.1508.00359","mag":"2281340993"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:1508.00359","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1508.00359","pdf_url":"https://arxiv.org/pdf/1508.00359","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/1508.00359","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Schafer, James A.","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Schafer, James A.","raw_affiliation_strings":["Department of Mathematics University of Maryland College Park , Maryland 20742"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics University of Maryland College Park , Maryland 20742","institution_ids":["https://openalex.org/I66946132"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I66946132"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"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":0.9570000171661377,"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":0.9570000171661377,"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/T11673","display_name":"Advanced Topics in Algebra","score":0.01510000042617321,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.010700000450015068,"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/group-automorphisms","display_name":"automorphisms of groups","score":0.8489999771118164},{"id":"https://openalex.org/keywords/group-cohomology","display_name":"group cohomology","score":0.8080000281333923},{"id":"https://openalex.org/keywords/group-extensions","display_name":"group extensions","score":0.7139999866485596},{"id":"https://openalex.org/keywords/outer-automorphism-group","display_name":"outer automorphism group","score":0.6420000195503235},{"id":"https://openalex.org/keywords/centralizers","display_name":"centralizers","score":0.453000009059906},{"id":"https://openalex.org/keywords/exact-sequences","display_name":"exact sequences","score":0.5180000066757202}],"concepts":[{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.902570366859436},{"id":"https://openalex.org/C75174853","wikidata":"https://www.wikidata.org/wiki/Q190629","display_name":"Centralizer and normalizer","level":2,"score":0.894081175327301},{"id":"https://openalex.org/C25534917","wikidata":"https://www.wikidata.org/wiki/Q1326955","display_name":"Exact sequence","level":2,"score":0.7260189056396484},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.6646975874900818},{"id":"https://openalex.org/C2779463800","wikidata":"https://www.wikidata.org/wiki/Q5062222","display_name":"Center (category theory)","level":2,"score":0.610837996006012},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5651677250862122},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5620067715644836},{"id":"https://openalex.org/C78606066","wikidata":"https://www.wikidata.org/wiki/Q1198376","display_name":"Cohomology","level":2,"score":0.5309996604919434},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5089738368988037},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.4585350453853607},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32903432846069336},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.31753355264663696},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.22554901242256165},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.1337975263595581},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10591921210289001},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.05914074182510376},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:1508.00359","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1508.00359","pdf_url":"https://arxiv.org/pdf/1508.00359","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":"doi:10.48550/arxiv.1508.00359","doi":"https://doi.org/10.48550/arxiv.1508.00359","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1508.00359","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:1508.00359","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1508.00359","pdf_url":"https://arxiv.org/pdf/1508.00359","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":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2281340993.pdf","grobid_xml":"https://content.openalex.org/works/W2281340993.grobid-xml"},"referenced_works_count":1,"referenced_works":["https://openalex.org/W2020898611"],"related_works":["https://openalex.org/W1585402202","https://openalex.org/W2526869936","https://openalex.org/W2951123935","https://openalex.org/W4287766064","https://openalex.org/W1984741469","https://openalex.org/W2599469112","https://openalex.org/W1980966323","https://openalex.org/W2024711941","https://openalex.org/W2911117274","https://openalex.org/W2100680296"],"abstract_inverted_index":{"Let":[0],"1->":[1],"H":[2,38,73,87],"->":[3,7,47,49,54,71],"G":[4,40,62],"_>":[5],"Q":[6,53],"1":[8],"be":[9],"an":[10,66],"exact":[11,27,123],"sequence":[12,28,109,124],"of":[13,18,37,61,68,86,102,129,136],"groups.":[14],"In":[15],"the":[16,25,35,59,75,80,84,96,100,107,115,121,130],"paper":[17,104],"R.":[19],"Oliver":[20],"and":[21,93,125],"J.":[22],"Ventura,":[23],"TAMS,362(2009),":[24],"following":[26],"was":[29],"developed":[30],"for":[31],"centric":[32],"extensions,":[33,112],"i.e":[34],"centralizer":[36],"in":[39,43],"is":[41,74,83,99,118],"contained":[42],"H,":[44,69],"0->":[45],"H^1(Q,zH)":[46],"Aut(G,H)":[48,57],"N_{Out":[50,94],"H}(F":[51],"Q)/F":[52],"H^2(Q,zH)":[55],"where":[56],"are":[58],"automorphisms":[60],"which":[63],"restrict":[64],"to":[65,105,110],"automorphism":[67],"F:Q":[70],"Out":[72],"outer":[76],"action":[77],"determined":[78],"by":[79],"extension,":[81],"zH":[82],"center":[85],"with":[88],"Q-action":[89],"coming":[90],"from":[91,120],"F":[92],"H}":[95],"normalizer.":[97],"It":[98],"aim":[101],"this":[103],"generalize":[106],"above":[108,116],"arbitrary":[111],"show":[113],"how":[114],"result":[117,132],"derived":[119],"general":[122,131],"derive":[126],"other":[127],"consequences":[128],"including":[133],"determining":[134],"solvability":[135],"Aut(G,H).":[137]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}
