Computing relative power integral bases in a family of quartic extensions of imaginary quadratic fields

Zrinka Franušić, Borka Jadrijević

Let $M$ be an imaginary quadratic field with the ring of integers ${\mathbb{Z}}_M$ and let $\xi$ be a root of polynomial $$f\left(x\right)=x^4-2c{x}^3+2x^2+2cx+1,$$ where $c\in…