Computations with relative extensions of number fields with an application to the construction of Hilbert class fields
Mario Daberkow, Michael E. Pohst · 1995
We present new and improved algorithms for computations with relative extensions of algebraic number fields.Especially, the tasks of relative normal forms, relative bases, detection of subfields, and embedding of these subfields are discussed.The new methods are then used to compute Hilbert class fields of totally real cubic and quartic fields for the first time.