Suppose $k$ is a number field of finite degree. Let $M$ be its maximal unramified extension in its algebraic closure $\overline{k}$. Can somebody give me some intuition on what does $M$ look like? Also what does the Galois group $\operatorname{Gal}(M/k)$ look like?
2026-03-29 08:21:02.1774772462
Maximal unramified extension of number field
105 Views Asked by user63181 https://math.techqa.club/user/user63181/detail AtRelated Questions in GALOIS-THEORY
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