Formally real fields with prescribed invariants in the theory of quadratic forms

On the Resolution of Index Form Equation

On the Resolution of Index Form Equations in Sextic Fields with an Imaginary Quadratic Subfield

✍ ISTVÁN GAÁL; MICHAEL POHST 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 538 KB

We give an efficient algorithm for the resolution of index form equations, especially for determining power integral bases, in sextic fields with an imaginary quadratic subfield. The method reduces the problem to the resolution of a cubic relative Thue equation over the quadratic subfield. At the en