Does exist an example of a Galois extension $L/K$ such that $\text{Gal}(L/K)\cong \mathbb Z$?
Thank you.
2026-04-13 19:24:47.1776108287
Galois group isomorphic to $\mathbb Z$
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The Galois group of a field extension $L/K$ is profinite, which $\mathbb{Z}$ is not.