KnowraGalois theoryLinked fromLinked fromThe 18 pages that link to Galois theory, each with the reason it gives.All 18Broader topic 1Related 12Narrower topic 5Group theoryRelated: It uses groups to determine when polynomial equations can be solved by radicals.Algebraic numberRelated: It relates algebraic equations to the permutations of their algebraic roots.Abstract algebraRelated: It uses groups to explain when polynomial equations can be solved by radicals.Niels Henrik AbelRelated: Abel’s impossibility result helped establish the problem that Galois theory later resolved structurally.Algebraic closureRelated: Automorphisms of an algebraic closure encode the Galois groups used to study polynomial equations.Alternating groupRelated: Alternating groups arise as Galois groups and govern solvability by radicals.FieldRelated: It uses field symmetries to analyze polynomial solvability.Camille JordanRelated: His influential treatise organized and advanced this theory.Emil ArtinRelated: Artin advanced its algebraic foundations and used Galois groups in class field theory.Finite simple groupRelated: Composition factors help determine whether polynomial equations are solvable by radicals.Solvable groupRelated: It translates solvability of a polynomial's Galois group into solvability by radicals.Field automorphismRelated: Field automorphisms are the symmetries on which its correspondence between subfields and subgroups rests.