Counting Hopf-Galois Structures on Cyclic Field Extensions of Squarefree Degree

Ali A. Alabdali, Nigel P. Byott

We investigate Hopf-Galois structures on a cyclic field extension $L/K$ of squarefree degree $n$. By a result of Greither and Pareigis, each such Hopf-Galois structure corresponds…