Does exist an example of a Galois extension $L/K$ such that $\text{Gal}(L/K)\cong \mathbb Z$?
Thank you.
Does exist an example of a Galois extension $L/K$ such that $\text{Gal}(L/K)\cong \mathbb Z$?
Thank you.
The Galois group of a field extension $L/K$ is profinite, which $\mathbb{Z}$ is not.