KnowraField extensionLinked fromLinked fromThe 29 pages that link to Field extension, each with the reason it gives.All 29Related 15Narrower topic 14Algebraic numberNarrower topic: Adjoining an algebraic number creates a finite extension of the rational numbers.Galois groupNarrower topic: A Galois group is defined relative to this inclusion.Cyclotomic fieldNarrower topic: Adjoining a root of unity creates an extension of the rational numbers.Galois theoryNarrower topic: The theory studies how automorphisms of extensions encode their intermediate fields.Minimal polynomialNarrower topic: The base field and algebraic element sit inside this larger field structure.Splitting fieldNarrower topic: A splitting field is a particular extension built by adjoining a polynomial’s roots.Constructible numberNarrower topic: Each construction step enlarges the current coordinate field by at most a quadratic extension.Fundamental theorem of Galois theoryNarrower topic: The theorem applies to extensions, with a finite Galois extension as its central setting.Solvability by radicalsNarrower topic: Adjoining radicals creates a tower of field extensions in the algebraic criterion.Algebraic number fieldNarrower topic: A number field is specifically a finite extension of the rational field.Normal extensionNarrower topic: Normality is a property of one field viewed as an extension of another.Kronecker–Weber theoremNarrower topic: The theorem classifies a particular family of finite extensions of the rationals.Primitive element theoremNarrower topic: The theorem concerns finite extensions of this kind.Lüroth's theoremNarrower topic: The theorem concerns the structure of subfields inside a field extension.