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- Galois_extension abstract "In mathematics, a Galois extension is an algebraic field extension E/F that is normal and separable; or equivalently, E/F is algebraic, and the field fixed by the automorphism group Aut(E/F) is precisely the base field F. One says that such extension is Galois. The significance of being a Galois extension is that the extension has a Galois group and obeys the fundamental theorem of Galois theory. A result of Emil Artin allows one to construct Galois extensions as follows: If E is a given field, and G is a finite group of automorphisms of E with fixed field F, then E/F is a Galois extension.".
- Galois_extension wikiPageExternalLink Japan01.pdf.
- Galois_extension wikiPageID "457064".
- Galois_extension wikiPageRevisionID "600283681".
- Galois_extension hasPhotoCollection Galois_extension.
- Galois_extension id "p/g043160".
- Galois_extension title "Galois theory".
- Galois_extension subject Category:Algebraic_number_theory.
- Galois_extension subject Category:Field_extensions.
- Galois_extension subject Category:Galois_theory.
- Galois_extension type Abstraction100002137.
- Galois_extension type Delay115272029.
- Galois_extension type Extension115272382.
- Galois_extension type FieldExtensions.
- Galois_extension type Measure100033615.
- Galois_extension type Pause115271008.
- Galois_extension type TimeInterval115269513.
- Galois_extension comment "In mathematics, a Galois extension is an algebraic field extension E/F that is normal and separable; or equivalently, E/F is algebraic, and the field fixed by the automorphism group Aut(E/F) is precisely the base field F. One says that such extension is Galois. The significance of being a Galois extension is that the extension has a Galois group and obeys the fundamental theorem of Galois theory.".
- Galois_extension label "Estensione di Galois".
- Galois_extension label "Extension de Galois".
- Galois_extension label "Extensión de Galois".
- Galois_extension label "Extensão de Galois".
- Galois_extension label "Galois extension".
- Galois_extension label "Rozszerzenie Galois".
- Galois_extension label "Расширение Галуа".
- Galois_extension label "ガロア拡大".
- Galois_extension label "伽罗瓦扩张".
- Galois_extension sameAs Extensión_de_Galois.
- Galois_extension sameAs Extension_de_Galois.
- Galois_extension sameAs Estensione_di_Galois.
- Galois_extension sameAs ガロア拡大.
- Galois_extension sameAs 갈루아_확대.
- Galois_extension sameAs Rozszerzenie_Galois.
- Galois_extension sameAs Extensão_de_Galois.
- Galois_extension sameAs m.02bsdr.
- Galois_extension sameAs Q2020004.
- Galois_extension sameAs Q2020004.
- Galois_extension sameAs Galois_extension.
- Galois_extension wasDerivedFrom Galois_extension?oldid=600283681.
- Galois_extension isPrimaryTopicOf Galois_extension.