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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. 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 wikiPageLength "7010".
- Galois_extension wikiPageOutDegree "37".
- Galois_extension wikiPageRevisionID "674571545".
- Galois_extension wikiPageWikiLink Adjunction_(field_theory).
- Galois_extension wikiPageWikiLink Alexander_Grothendieck.
- Galois_extension wikiPageWikiLink Algebraic_closure.
- Galois_extension wikiPageWikiLink Algebraic_extension.
- Galois_extension wikiPageWikiLink Automorphism.
- Galois_extension wikiPageWikiLink Cambridge_University_Press.
- Galois_extension wikiPageWikiLink Category:Algebraic_number_theory.
- Galois_extension wikiPageWikiLink Category:Field_extensions.
- Galois_extension wikiPageWikiLink Category:Galois_theory.
- Galois_extension wikiPageWikiLink Characteristic_(algebra).
- Galois_extension wikiPageWikiLink Characteristic_zero.
- Galois_extension wikiPageWikiLink Cube_roots_of_unity.
- Galois_extension wikiPageWikiLink Degree_(field_theory).
- Galois_extension wikiPageWikiLink Emil_Artin.
- Galois_extension wikiPageWikiLink Field_extension.
- Galois_extension wikiPageWikiLink Finite_extension.
- Galois_extension wikiPageWikiLink Fixed_field.
- Galois_extension wikiPageWikiLink Fixed_point_(mathematics).
- Galois_extension wikiPageWikiLink Fundamental_theorem_of_Galois_theory.
- Galois_extension wikiPageWikiLink Galois_group.
- Galois_extension wikiPageWikiLink Graduate_Texts_in_Mathematics.
- Galois_extension wikiPageWikiLink Grothendieck.
- Galois_extension wikiPageWikiLink Groupoid.
- Galois_extension wikiPageWikiLink Groupoids.
- Galois_extension wikiPageWikiLink Mathematics.
- Galois_extension wikiPageWikiLink Normal_extension.
- Galois_extension wikiPageWikiLink Perfect_field.
- Galois_extension wikiPageWikiLink Rational_number.
- Galois_extension wikiPageWikiLink Rational_number_field.
- Galois_extension wikiPageWikiLink Root_of_unity.
- Galois_extension wikiPageWikiLink Separable_extension.
- Galois_extension wikiPageWikiLink Separable_polynomial.
- Galois_extension wikiPageWikiLink Splitting_field.
- Galois_extension wikiPageWikiLink Springer-Verlag.
- Galois_extension wikiPageWikiLink Springer_Science+Business_Media.
- Galois_extension wikiPageWikiLink Square_root_of_2.
- Galois_extension wikiPageWikiLinkText "Galois extension field".
- Galois_extension wikiPageWikiLinkText "Galois extension".
- Galois_extension wikiPageWikiLinkText "Galois number field".
- Galois_extension wikiPageWikiLinkText "Galois theory".
- Galois_extension wikiPageWikiLinkText "Galois".
- Galois_extension hasPhotoCollection Galois_extension.
- Galois_extension id "p/g043160".
- Galois_extension title "Galois theory".
- Galois_extension wikiPageUsesTemplate Template:Cite_book.
- Galois_extension wikiPageUsesTemplate Template:Cite_journal.
- Galois_extension wikiPageUsesTemplate Template:Cite_web.
- Galois_extension wikiPageUsesTemplate Template:Springer.
- Galois_extension subject Category:Algebraic_number_theory.
- Galois_extension subject Category:Field_extensions.
- Galois_extension subject Category:Galois_theory.
- Galois_extension hypernym F.
- Galois_extension type MotorsportSeason.
- 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. 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 "Galois extension".
- Galois_extension sameAs Extensió_de_Galois.
- Galois_extension sameAs Extensión_de_Galois.
- Galois_extension sameAs Galois’n_laajennus.
- Galois_extension sameAs Extension_de_Galois.
- Galois_extension sameAs הרחבת_גלואה.
- 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 Estension_ëd_Galois.
- Galois_extension sameAs Extensão_de_Galois.
- Galois_extension sameAs m.02bsdr.
- Galois_extension sameAs Расширение_Галуа.
- Galois_extension sameAs Galoisutvidgning.
- Galois_extension sameAs Розширення_Галуа.
- Galois_extension sameAs Q2020004.
- Galois_extension sameAs Q2020004.
- Galois_extension sameAs 伽罗瓦扩张.
- Galois_extension wasDerivedFrom Galois_extension?oldid=674571545.
- Galois_extension isPrimaryTopicOf Galois_extension.