Hopf-Galois module structure of quartic Galois extensions of $\mathbb{Q}$

Daniel Gil-Muñoz, Anna Rio

Given a quartic Galois extension $L/\mathbb{Q}$ of number fields and a Hopf-Galois structure $H$ on $L/\mathbb{Q}$, we study the freeness of the ring of integers ${\mathcal{O}}_L$ as…