The invariant fields of the Sylow groups of classical groups in the natural characteristic

Detalhes bibliográficos
Autor(a) principal: Ferreira, Jorge N. M.
Data de Publicação: 2016
Outros Autores: Fleischmann, Peter
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.13/5032
Resumo: Let X be any finite classical group defined over a finite field of characteristic p > 0. In this article, we determine the fields of rational invariants for the Sylow p-subgroups of X, acting on the natural module. In particular, we prove that these fields are generated by orbit products of variables and certain invariant polynomials which are images under Steenrod operations, applied to the respective invariant linear forms defining X.
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spelling The invariant fields of the Sylow groups of classical groups in the natural characteristicFinite classical groupsInvariant fieldsModular invariant theorySylow groups.Faculdade de Ciências Exatas e da EngenhariaLet X be any finite classical group defined over a finite field of characteristic p > 0. In this article, we determine the fields of rational invariants for the Sylow p-subgroups of X, acting on the natural module. In particular, we prove that these fields are generated by orbit products of variables and certain invariant polynomials which are images under Steenrod operations, applied to the respective invariant linear forms defining X.Taylor and Francis GroupDigitUMaFerreira, Jorge N. M.Fleischmann, Peter2023-02-13T15:50:12Z20162016-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.13/5032engJorge N. M. Ferreira & Peter Fleischmann (2016) The Invariant Fields of the Sylow Groups of Classical Groups in the Natural Characteristic, Communications in Algebra, 44:3, 977-1010, DOI: 10.1080/00927872.2014.99992210.1080/00927872.2014.999922info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-02-19T04:42:56Zoai:digituma.uma.pt:10400.13/5032Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T16:46:58.626558Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv The invariant fields of the Sylow groups of classical groups in the natural characteristic
title The invariant fields of the Sylow groups of classical groups in the natural characteristic
spellingShingle The invariant fields of the Sylow groups of classical groups in the natural characteristic
Ferreira, Jorge N. M.
Finite classical groups
Invariant fields
Modular invariant theory
Sylow groups
.
Faculdade de Ciências Exatas e da Engenharia
title_short The invariant fields of the Sylow groups of classical groups in the natural characteristic
title_full The invariant fields of the Sylow groups of classical groups in the natural characteristic
title_fullStr The invariant fields of the Sylow groups of classical groups in the natural characteristic
title_full_unstemmed The invariant fields of the Sylow groups of classical groups in the natural characteristic
title_sort The invariant fields of the Sylow groups of classical groups in the natural characteristic
author Ferreira, Jorge N. M.
author_facet Ferreira, Jorge N. M.
Fleischmann, Peter
author_role author
author2 Fleischmann, Peter
author2_role author
dc.contributor.none.fl_str_mv DigitUMa
dc.contributor.author.fl_str_mv Ferreira, Jorge N. M.
Fleischmann, Peter
dc.subject.por.fl_str_mv Finite classical groups
Invariant fields
Modular invariant theory
Sylow groups
.
Faculdade de Ciências Exatas e da Engenharia
topic Finite classical groups
Invariant fields
Modular invariant theory
Sylow groups
.
Faculdade de Ciências Exatas e da Engenharia
description Let X be any finite classical group defined over a finite field of characteristic p > 0. In this article, we determine the fields of rational invariants for the Sylow p-subgroups of X, acting on the natural module. In particular, we prove that these fields are generated by orbit products of variables and certain invariant polynomials which are images under Steenrod operations, applied to the respective invariant linear forms defining X.
publishDate 2016
dc.date.none.fl_str_mv 2016
2016-01-01T00:00:00Z
2023-02-13T15:50:12Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.13/5032
url http://hdl.handle.net/10400.13/5032
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Jorge N. M. Ferreira & Peter Fleischmann (2016) The Invariant Fields of the Sylow Groups of Classical Groups in the Natural Characteristic, Communications in Algebra, 44:3, 977-1010, DOI: 10.1080/00927872.2014.999922
10.1080/00927872.2014.999922
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Taylor and Francis Group
publisher.none.fl_str_mv Taylor and Francis Group
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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