SEXTIC EXTENSION WITH CUBIC SUBFIELD
In this paper, we give an integral basis of sextic extensions of type which is a rational quadratic over a pure cubic field where d is a rational square free integer and b is a root of an irreducible polynomial of degree 3. As a consequence, the discriminant of L is straightforwardly computed and the index will be given immediately.
Dedekind ring, monogenicity, power basis, integral basis.
