Minimal Hopf-Galois Structures on Separable Field Extensions

Tony Ezome, Cornelius Greither

In Hopf-Galois theory, every $H$-Hopf-Galois structure on a field extension $K/k$ gives rise to an injective map $\mathcal{F}$ from the set of $k$-sub-Hopf algebras of $H$ into the…