On the Galois correspondence ratio for Hopf-Galois extensions arising from nilpotent ${\mathbb{F}}_p$-algebras

Lindsay N. Childs

For a Hopf-Galois structure on a Galois extension $L/K$ of fields that arises from a finite nilpotent ${\mathbb{F}}_p$-algebra $A$, we look at the Galois correspondence ratio, which…