Hopf Galois module structure of dihedral degree $2p$ extensions of ${\mathbb{Q}}_p$

Daniel Gil-Muñoz, Anna Rio

Let $p$ be an odd prime. For field extensions $L/{\mathbb{Q}}_p$ with Galois group isomorphic to the dihedral group $D_{2p}$ of order $2p$, we consider the problem of computing a bas…