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- Inverse_Galois_problem abstract "In Galois theory, the inverse Galois problem concerns whether or not every finite group appears as the Galois group of some Galois extension of the rational numbers Q. This problem, first posed in the 19th century, is unsolved.There are some permutation groups for which generic polynomials are known, which define all algebraic extensions of Q having a particular group as Galois group. These groups include all of degree no greater than 5. There also are groups known not to have generic polynomials, such as the cyclic group of order 8.More generally, let G be a given finite group, and let K be a field. Then the question is this: is there a Galois extension field L/K such that the Galois group of the extension is isomorphic to G? One says that G is realizable over K if such a field L exists.".
- Inverse_Galois_problem wikiPageExternalLink 0136.
- Inverse_Galois_problem wikiPageID "739166".
- Inverse_Galois_problem wikiPageLength "14675".
- Inverse_Galois_problem wikiPageOutDegree "50".
- Inverse_Galois_problem wikiPageRevisionID "635704101".
- Inverse_Galois_problem wikiPageWikiLink 2-transitive_group.
- Inverse_Galois_problem wikiPageWikiLink Abelian_group.
- Inverse_Galois_problem wikiPageWikiLink Algebraic_independence.
- Inverse_Galois_problem wikiPageWikiLink Algebraically_closed_field.
- Inverse_Galois_problem wikiPageWikiLink Algebraically_independent.
- Inverse_Galois_problem wikiPageWikiLink Automorphism.
- Inverse_Galois_problem wikiPageWikiLink Automorphism_group.
- Inverse_Galois_problem wikiPageWikiLink Category:Galois_theory.
- Inverse_Galois_problem wikiPageWikiLink Category:Unsolved_problems_in_mathematics.
- Inverse_Galois_problem wikiPageWikiLink Characteristic_(algebra).
- Inverse_Galois_problem wikiPageWikiLink Complex_number.
- Inverse_Galois_problem wikiPageWikiLink Complex_numbers.
- Inverse_Galois_problem wikiPageWikiLink Covering_space.
- Inverse_Galois_problem wikiPageWikiLink Cyclic_group.
- Inverse_Galois_problem wikiPageWikiLink Cyclotomic_field.
- Inverse_Galois_problem wikiPageWikiLink David_Hilbert.
- Inverse_Galois_problem wikiPageWikiLink Dirichlets_theorem_on_arithmetic_progressions.
- Inverse_Galois_problem wikiPageWikiLink Doubly_transitive.
- Inverse_Galois_problem wikiPageWikiLink Doubly_transitive_permutation_group.
- Inverse_Galois_problem wikiPageWikiLink Eisensteins_criterion.
- Inverse_Galois_problem wikiPageWikiLink Elliptic_modular_function.
- Inverse_Galois_problem wikiPageWikiLink Finite_group.
- Inverse_Galois_problem wikiPageWikiLink Function_field_of_an_algebraic_variety.
- Inverse_Galois_problem wikiPageWikiLink Fundamental_theorem_of_Galois_theory.
- Inverse_Galois_problem wikiPageWikiLink Galois_covering.
- Inverse_Galois_problem wikiPageWikiLink Galois_extension.
- Inverse_Galois_problem wikiPageWikiLink Galois_group.
- Inverse_Galois_problem wikiPageWikiLink Galois_theory.
- Inverse_Galois_problem wikiPageWikiLink Gaussian_period.
- Inverse_Galois_problem wikiPageWikiLink Generic_polynomial.
- Inverse_Galois_problem wikiPageWikiLink Group_isomorphism.
- Inverse_Galois_problem wikiPageWikiLink Hilberts_irreducibility_theorem.
- Inverse_Galois_problem wikiPageWikiLink Igor_Shafarevich.
- Inverse_Galois_problem wikiPageWikiLink Invariant_theory.
- Inverse_Galois_problem wikiPageWikiLink J-invariant.
- Inverse_Galois_problem wikiPageWikiLink Kronecker–Weber_theorem.
- Inverse_Galois_problem wikiPageWikiLink Mathieu_group.
- Inverse_Galois_problem wikiPageWikiLink Modular_group.
- Inverse_Galois_problem wikiPageWikiLink Monster_group.
- Inverse_Galois_problem wikiPageWikiLink Multiplicity_(mathematics).
- Inverse_Galois_problem wikiPageWikiLink Noriko_Yui.
- Inverse_Galois_problem wikiPageWikiLink Projective_line.
- Inverse_Galois_problem wikiPageWikiLink Purely_transcendental.
- Inverse_Galois_problem wikiPageWikiLink Rational_function.
- Inverse_Galois_problem wikiPageWikiLink Rational_number.
- Inverse_Galois_problem wikiPageWikiLink Rational_variety.
- Inverse_Galois_problem wikiPageWikiLink Rationality_question.
- Inverse_Galois_problem wikiPageWikiLink Root_of_unity.
- Inverse_Galois_problem wikiPageWikiLink Simple_zero.
- Inverse_Galois_problem wikiPageWikiLink Solvable_group.
- Inverse_Galois_problem wikiPageWikiLink Sporadic_group.
- Inverse_Galois_problem wikiPageWikiLink Symmetric_group.
- Inverse_Galois_problem wikiPageWikiLink Transcendence_degree.
- Inverse_Galois_problem wikiPageWikiLinkText "Inverse Galois problem".
- Inverse_Galois_problem wikiPageWikiLinkText "inverse Galois problem".
- Inverse_Galois_problem hasPhotoCollection Inverse_Galois_problem.
- Inverse_Galois_problem wikiPageUsesTemplate Template:Citation.
- Inverse_Galois_problem wikiPageUsesTemplate Template:Cite_book.
- Inverse_Galois_problem wikiPageUsesTemplate Template:Harvtxt.
- Inverse_Galois_problem wikiPageUsesTemplate Template:Math.
- Inverse_Galois_problem wikiPageUsesTemplate Template:Mvar.
- Inverse_Galois_problem wikiPageUsesTemplate Template:Neukirch_et_al._CNF.
- Inverse_Galois_problem wikiPageUsesTemplate Template:Unsolved.
- Inverse_Galois_problem subject Category:Galois_theory.
- Inverse_Galois_problem subject Category:Unsolved_problems_in_mathematics.
- Inverse_Galois_problem comment "In Galois theory, the inverse Galois problem concerns whether or not every finite group appears as the Galois group of some Galois extension of the rational numbers Q. This problem, first posed in the 19th century, is unsolved.There are some permutation groups for which generic polynomials are known, which define all algebraic extensions of Q having a particular group as Galois group. These groups include all of degree no greater than 5.".
- Inverse_Galois_problem label "Inverse Galois problem".
- Inverse_Galois_problem sameAs معضلة_غالوا_العكسية.
- Inverse_Galois_problem sameAs Problema_de_Galois_inverso.
- Inverse_Galois_problem sameAs Théorie_de_Galois_inverse.
- Inverse_Galois_problem sameAs Problema_di_Galois_inverso.
- Inverse_Galois_problem sameAs Problema_inverso_de_Galois.
- Inverse_Galois_problem sameAs m.03777r.
- Inverse_Galois_problem sameAs Inversa_Galoisproblemet.
- Inverse_Galois_problem sameAs Q2358071.
- Inverse_Galois_problem sameAs Q2358071.
- Inverse_Galois_problem wasDerivedFrom Inverse_Galois_problem?oldid=635704101.
- Inverse_Galois_problem isPrimaryTopicOf Inverse_Galois_problem.