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11 votes
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Maximal extension almost everywhere unramified and totally split at one place

Nope. I'm lacking a reference in front of me at the moment (see NSW's Cohomology of Number Fields, or Gras's Class Field Theory -- I'll update with a precise reference later), but there are remarka …
Cam McLeman's user avatar
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7 votes

On what kind of objects do the Galois groups act?

This is not exactly an incarnation of the question you asked, in the sense that is not so much an action of a Galois group but rather an action whose existence is governed by a Galois group of number- …
Cam McLeman's user avatar
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