MathCastle
Groups and FieldsHardGalois Theory

Galois Theory · Hard problem

Gal⁡(Q(ζ7)/Q)≅Z6\operatorname{Gal}(\mathbb Q(\zeta_7)/\mathbb Q)\cong\mathbb Z_6. How many quadratic subfields does Q(ζ7)\mathbb Q(\zeta_7) have?