Abelian Hopf Galois structures from almost trivial commutative nilpotent algebras

Lindsay N. Childs

Let $L/K$ be a Galois extension of fields with Galois group $G$, an elementary abelian $p$-group of rank $n$ for $p$ an odd prime. It is known that nilpotent ${\mathbb{F}}_p$-algebra…