Linked from

The 19 pages that link to Cyclotomic field, each with the reason it gives.

• Algebraic number theoryBroader topic: Cyclotomic fields connect ideal arithmetic with roots of unity and classical Diophantine equations.

• Field extensionBroader topic: These explicit extensions encode roots of unity and their arithmetic symmetries.

• Galois groupBroader topic: Over the rationals, its Galois group is described by invertible residue classes modulo the root's order.

• Root of unityBroader topic: Adjoining these numbers produces central examples in algebraic number theory.

• Cyclotomic polynomialBroader topic: A primitive nth root generates a field whose minimal polynomial is Φₙ(x).

• Galois theoryBroader topic: Cyclotomic extensions give explicit, structured examples of Galois groups and radical solutions.

• Splitting fieldBroader topic: It is the splitting field over the rationals of a cyclotomic polynomial.

• Algebraic integerBroader topic: Roots of unity are algebraic integers, central to cyclotomic arithmetic.

• Algebraic number fieldBroader topic: It is a concrete family of number fields with especially rich Galois structure.

• Normal extensionBroader topic: Cyclotomic fields over the rationals are standard finite Galois, hence normal, extensions.

• Kronecker–Weber theoremBroader topic: The theorem places every finite abelian extension inside one of these fields.

• Primitive element theoremBroader topic: Cyclotomic extensions provide concrete examples of finite extensions described by generators.