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- Splitting_of_prime_ideals_in_Galois_extensions abstract "In mathematics, the interplay between the Galois group G of a Galois extension L of a number field K, and the way the prime ideals P of the ring of integers OK factorise as products of prime ideals of OL, provides one of the richest parts of algebraic number theory. The splitting of prime ideals in Galois extensions is sometimes attributed to David Hilbert by calling it Hilbert theory. There is a geometric analogue, for ramified coverings of Riemann surfaces, which is simpler in that only one kind of subgroup of G need be considered, rather than two. This was certainly familiar before Hilbert.".
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageExternalLink ant.
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageID "1190816".
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageLength "14862".
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageOutDegree "43".
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageRevisionID "692420196".
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageWikiLink Algebraic_geometry.
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageWikiLink Algebraic_number_field.
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageWikiLink Algebraic_number_theory.
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageWikiLink Algebraically_closed_field.
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageWikiLink Automorphism.
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageWikiLink Category:Algebraic_number_theory.
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageWikiLink Category:Galois_theory.
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageWikiLink Chinese_remainder_theorem.
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageWikiLink Complex_manifold.
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageWikiLink Cubic_field.
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageWikiLink David_Hilbert.
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageWikiLink Discriminant_of_an_algebraic_number_field.
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageWikiLink Fermats_theorem_on_sums_of_two_squares.
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageWikiLink Field_(mathematics).
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageWikiLink Frobenius_endomorphism.
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageWikiLink Fundamental_theorem_of_arithmetic.
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageWikiLink Galois_extension.
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageWikiLink Galois_group.
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageWikiLink Gaussian_integer.
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageWikiLink Group_action.
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageWikiLink Heegner_number.
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageWikiLink Ideal_norm.
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageWikiLink Image_(mathematics).
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageWikiLink Integral_element.
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageWikiLink Krull_dimension.
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageWikiLink Mathematics.
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageWikiLink Maximal_ideal.
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageWikiLink Minimal_polynomial_(field_theory).
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageWikiLink Order_(ring_theory).
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageWikiLink Prime_ideal.
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageWikiLink Primitive_element_theorem.
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageWikiLink Ramification_(mathematics).
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageWikiLink Riemann_surface.
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageWikiLink Ring_of_integers.
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageWikiLink Splitting_field.
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageWikiLink Unique_factorization_domain.
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageWikiLinkText "Splitting of prime ideals in Galois extensions".
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageWikiLinkText "decomposition group".
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageWikiLinkText "inertia degree".
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageWikiLinkText "inertia subgroup".
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageWikiLinkText "ramification in algebraic number theory".
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageWikiLinkText "ramification".
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageWikiLinkText "split".
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageWikiLinkText "splits completely".
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageWikiLinkText "splitting of prime ideals in Galois extensions".
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageWikiLinkText "unramified extension".
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageWikiLinkText "unramified".
- Splitting_of_prime_ideals_in_Galois_extensions id "6818".
- Splitting_of_prime_ideals_in_Galois_extensions title "Splitting and ramification in number fields and Galois extensions".
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageUsesTemplate Template:Citation.
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageUsesTemplate Template:Neukirch_ANT.
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageUsesTemplate Template:Planetmath_reference.
- Splitting_of_prime_ideals_in_Galois_extensions wikiPageUsesTemplate Template:Reflist.
- Splitting_of_prime_ideals_in_Galois_extensions subject Category:Algebraic_number_theory.
- Splitting_of_prime_ideals_in_Galois_extensions subject Category:Galois_theory.
- Splitting_of_prime_ideals_in_Galois_extensions type Redirect.
- Splitting_of_prime_ideals_in_Galois_extensions comment "In mathematics, the interplay between the Galois group G of a Galois extension L of a number field K, and the way the prime ideals P of the ring of integers OK factorise as products of prime ideals of OL, provides one of the richest parts of algebraic number theory. The splitting of prime ideals in Galois extensions is sometimes attributed to David Hilbert by calling it Hilbert theory.".
- Splitting_of_prime_ideals_in_Galois_extensions label "Splitting of prime ideals in Galois extensions".
- Splitting_of_prime_ideals_in_Galois_extensions sameAs Q3042809.
- Splitting_of_prime_ideals_in_Galois_extensions sameAs Décomposition_des_idéaux_premiers_dans_les_extensions_galoisiennes.
- Splitting_of_prime_ideals_in_Galois_extensions sameAs ガロア拡大での素イデアルの分解.
- Splitting_of_prime_ideals_in_Galois_extensions sameAs m.04fyyq.
- Splitting_of_prime_ideals_in_Galois_extensions sameAs Q3042809.
- Splitting_of_prime_ideals_in_Galois_extensions wasDerivedFrom Splitting_of_prime_ideals_in_Galois_extensions?oldid=692420196.
- Splitting_of_prime_ideals_in_Galois_extensions isPrimaryTopicOf Splitting_of_prime_ideals_in_Galois_extensions.