Hopf-Galois Structures on Non-Normal Extensions of Degree Related to Sophie Germain Primes

Nigel P. Byott, Isabel Martin-Lyons

We consider Hopf-Galois structures on separable (but not necessarily normal) field extensions $L/K$ of squarefree degree $n$. If $E/K$ is the normal closure of $L/K$ then $G=\mathr…