KnowraCyclotomic fieldLinked fromLinked fromThe 19 pages that link to Cyclotomic field, each with the reason it gives.All 19Broader topic 12Related 6Narrower topic 1Class field theoryRelated: Cyclotomic fields provide concrete examples of abelian extensions and reciprocity.Ernst KummerRelated: Kummer studied these fields while attacking Fermat’s last theorem.Field automorphismRelated: Its automorphisms act explicitly by sending a primitive root of unity to its coprime powers.Fundamental theorem of Galois theoryRelated: Its Galois group and intermediate fields can be read through the theorem’s subgroup correspondence.Dirichlet's unit theoremRelated: Its real and complex embeddings give explicit examples of the rank formula.Gauss–Wantzel theoremRelated: Its degree encodes the algebraic complexity of the polygon's vertices.