Embedding Galois problems and reduced norms

For certain embedding problems $\tilde{G} \rightarrow G \simeq \operatorname{Gal}(L\mid K)$ associated to a representation $t: G \rightarrow \operatorname{Aut} A$ of the group G by automorphisms of a central simple K-algebra A of dimension n2, we prove that the solutions are the fields L((rN(z))1/n)...

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Detalles Bibliográficos
Autor: Crespo Vicente, Teresa
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:1991
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/7665
Acceso en línea:https://hdl.handle.net/2445/7665
Access Level:acceso abierto
Palabra clave:Teoria algebraica de nombres
Teoria de Galois
Algebraic number theory
Galois theory
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spelling Embedding Galois problems and reduced normsCrespo Vicente, TeresaTeoria algebraica de nombresTeoria de GaloisAlgebraic number theoryGalois theoryFor certain embedding problems $\tilde{G} \rightarrow G \simeq \operatorname{Gal}(L\mid K)$ associated to a representation $t: G \rightarrow \operatorname{Aut} A$ of the group G by automorphisms of a central simple K-algebra A of dimension n2, we prove that the solutions are the fields L((rN(z))1/n), with r running over K*/K* n and N(z) the reduced norm of an invertible element z in the algebra B ⊗ L, for B the twisted algebra of A by t.American Mathematical Society200920091991info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersion4 p.application/pdfhttps://hdl.handle.net/2445/7665Articles publicats en revistes (Matemàtiques i Informàtica)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)InglésReproducció digital del document publicat en format paper, proporcionada per JSTOR http://www.jstor.org/stable/2048683Proceedings of the American Mathematical Society, 1991, vol. 112, núm. 3, p. 637-639.https://doi.org/10.2307/2048683https://doi.org/10.1090/S0002-9939-1991-1057951-1(c) American Mathematical Society, 1991info:eu-repo/semantics/openAccessoai:recercat.cat:2445/76652026-05-29T05:05:01Z
dc.title.none.fl_str_mv Embedding Galois problems and reduced norms
title Embedding Galois problems and reduced norms
spellingShingle Embedding Galois problems and reduced norms
Crespo Vicente, Teresa
Teoria algebraica de nombres
Teoria de Galois
Algebraic number theory
Galois theory
title_short Embedding Galois problems and reduced norms
title_full Embedding Galois problems and reduced norms
title_fullStr Embedding Galois problems and reduced norms
title_full_unstemmed Embedding Galois problems and reduced norms
title_sort Embedding Galois problems and reduced norms
dc.creator.none.fl_str_mv Crespo Vicente, Teresa
author Crespo Vicente, Teresa
author_facet Crespo Vicente, Teresa
author_role author
dc.subject.none.fl_str_mv Teoria algebraica de nombres
Teoria de Galois
Algebraic number theory
Galois theory
topic Teoria algebraica de nombres
Teoria de Galois
Algebraic number theory
Galois theory
description For certain embedding problems $\tilde{G} \rightarrow G \simeq \operatorname{Gal}(L\mid K)$ associated to a representation $t: G \rightarrow \operatorname{Aut} A$ of the group G by automorphisms of a central simple K-algebra A of dimension n2, we prove that the solutions are the fields L((rN(z))1/n), with r running over K*/K* n and N(z) the reduced norm of an invertible element z in the algebra B ⊗ L, for B the twisted algebra of A by t.
publishDate 1991
dc.date.none.fl_str_mv 1991
2009
2009
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/7665
url https://hdl.handle.net/2445/7665
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció digital del document publicat en format paper, proporcionada per JSTOR http://www.jstor.org/stable/2048683
Proceedings of the American Mathematical Society, 1991, vol. 112, núm. 3, p. 637-639.
https://doi.org/10.2307/2048683
https://doi.org/10.1090/S0002-9939-1991-1057951-1
dc.rights.none.fl_str_mv (c) American Mathematical Society, 1991
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) American Mathematical Society, 1991
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 4 p.
application/pdf
dc.publisher.none.fl_str_mv American Mathematical Society
publisher.none.fl_str_mv American Mathematical Society
dc.source.none.fl_str_mv Articles publicats en revistes (Matemàtiques i Informàtica)
reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
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