I have it that $K/F$ is a (finite) field extension, what is the definition of when $K/F$ is called cyclic ?
I heard it while I studied Galois theory and it was defined as
$K/F$ is called cyclic if $Gal(K/F)$ is a cyclic group
where the notation $Gal$ means that $K/F$ is also Galois.
Does, in general, it means $Aut(K/F)$ is cyclic, without the requirement that the extension is Galois ? (how it is defined in the literature/what is the convention ?)