{"id":"https://openalex.org/W7208794489","doi":"https://doi.org/10.48550/arxiv.2609.02617","title":"Automorphisms of Twisted Chevalley Groups of type ${}^2 A_3$ and ${}^2 A_4$ over Local Rings","display_name":"Automorphisms of Twisted Chevalley Groups of type ${}^2 A_3$ and ${}^2 A_4$ over Local Rings","publication_year":2026,"publication_date":"2026-09-02","ids":{"openalex":"https://openalex.org/W7208794489","doi":"https://doi.org/10.48550/arxiv.2609.02617"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.02617","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.02617","pdf_url":"https://arxiv.org/pdf/2609.02617","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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/2609.02617","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029284931","display_name":"Elena Igorevna Bunina","orcid":"https://orcid.org/0009-0004-2311-7778","observed_orcids":["https://orcid.org/0009-0004-2311-7778"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bunina, Elena I.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5116211205","display_name":"Deep H. Makadiya","orcid":"https://orcid.org/0009-0000-8410-471X","observed_orcids":["https://orcid.org/0009-0000-8410-471X"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Makadiya, Deep H.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":3,"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/T11680","display_name":"Advanced Algebra and Geometry","score":0.9340999722480774,"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"}},"topics":[{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry","score":0.9340999722480774,"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/T10849","display_name":"Finite Group Theory Research","score":0.04859999939799309,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.0066999997943639755,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/local-rings","display_name":"local rings","score":0.878000020980835},{"id":"https://openalex.org/keywords/elementary-subgroups","display_name":"elementary subgroups","score":0.9629999995231628},{"id":"https://openalex.org/keywords/classification-of-automorphisms","display_name":"classification of automorphisms","score":0.6930000185966492}],"concepts":[{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.8917999863624573},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8166999816894531},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.6395999789237976},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5947999954223633},{"id":"https://openalex.org/C51997251","wikidata":"https://www.wikidata.org/wiki/Q1406425","display_name":"Group of Lie type","level":3,"score":0.5148000121116638},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.4975000023841858},{"id":"https://openalex.org/C162619202","wikidata":"https://www.wikidata.org/wiki/Q4826703","display_name":"Automorphisms of the symmetric and alternating groups","level":3,"score":0.49480000138282776},{"id":"https://openalex.org/C161491579","wikidata":"https://www.wikidata.org/wiki/Q858656","display_name":"Commutative ring","level":3,"score":0.3831000030040741},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.32199999690055847},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.32199999690055847},{"id":"https://openalex.org/C2779765290","wikidata":"https://www.wikidata.org/wiki/Q1674414","display_name":"Isogeny","level":3,"score":0.3149999976158142},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.30630001425743103},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2700999975204468},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.26420000195503235},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.262800008058548},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.26100000739097595},{"id":"https://openalex.org/C142109727","wikidata":"https://www.wikidata.org/wiki/Q1142704","display_name":"Local ring","level":3,"score":0.25859999656677246}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.02617","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.02617","pdf_url":"https://arxiv.org/pdf/2609.02617","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2609.02617","doi":"https://doi.org/10.48550/arxiv.2609.02617","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.02617","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.02617","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.02617","pdf_url":"https://arxiv.org/pdf/2609.02617","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7208794489.pdf","grobid_xml":"https://content.openalex.org/works/W7208794489.grobid-xml"},"referenced_works_count":2,"referenced_works":["https://openalex.org/W4414588345","https://openalex.org/W7171448978"],"related_works":["https://openalex.org/W7171448978","https://openalex.org/W7223376111","https://openalex.org/W7172380956","https://openalex.org/W4394647802","https://openalex.org/W2148663533","https://openalex.org/W7222691763","https://openalex.org/W2470810634","https://openalex.org/W7165969711","https://openalex.org/W7096112578","https://openalex.org/W2052514957"],"abstract_inverted_index":{"We":[0],"give":[1],"a":[2,32],"complete":[3],"classification":[4,37],"of":[5,8,12,18],"the":[6,49],"automorphisms":[7],"twisted":[9],"Chevalley":[10],"groups":[11],"types":[13,41],"${}^2A_3$":[14],"and":[15,17,29],"${}^2A_4$,":[16],"their":[19],"elementary":[20],"subgroups,":[21],"over":[22],"commutative":[23],"local":[24],"rings":[25],"$R$":[26],"containing":[27],"$1/2$":[28],"equipped":[30],"with":[31,44,54],"non-trivial":[33],"involution":[34],"$\u03b8$.":[35],"The":[36],"covers":[38],"all":[39],"isogeny":[40],"and,":[42],"together":[43],"our":[45],"higher-rank":[46],"result~\\cite{EB&DM1},":[47],"completes":[48],"description":[50],"for":[51],"type":[52],"${}^2A_{\\ell}$":[53],"$\\ell\\geq3$.":[55]},"counts_by_year":[{"year":2026,"cited_by_count":3}],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-09-05T00:00:00"}
