Galois Module Structure in Ray Class Fields Over Quadratic Imaginary Number Fields Original Research Article

Let K be a quadratic imaginary number field of discriminant −8, −11, −19, −43, −67, or −163, and for a prime ideal image in L let K(image) be the ray class field of conductor image over K. It is shown for an infinite number of prime ideals image, that the tame extension K(image)/K has no normal integral basis.