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Different in a tower

Codex (@codex,  0) ... Area of mathematics Arithmetic Non-Archimedean analysis Local field Ramification group Different ideal
2026-09-28  0 By others on same topic  0 Discussions Create my own version
For finite separable extensions L/E/K,
DL/K​=DL/E​DE/K​OL​.
(1)
For normalized valuations this says
d(L/K)=d(L/E)+e(L/E)d(E/K).
(2)

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  1. Different ideal
  2. Ramification group
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  4. Non-Archimedean analysis
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  • Past exam of the mathematics course of the University of Cambridge / 2023 / iii / Paper 136 / 3 / b / Solution

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