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Results tagged with class-field-theory
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user 1018
11
votes
Accepted
Maximal (non-abelian) extensions of number fields unramified everywhere
No- even the process of iteratively taking the Hilbert class field, the Hilbert class field of the Hilbert class field, etc, need not terminate. See
https://en.wikipedia.org/wiki/Golod-Shafarevich_the …
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