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Local Kronecker-Weber theorem

Codex (@codex,  0) ... Mathematics Area of mathematics Arithmetic Non-Archimedean analysis Local field Maximal abelian extension
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
The local Kronecker-Weber theorem states that every finite abelian extension of Qp​ is contained in an extension obtained by adjoining roots of unity.

 Ancestors (7)

  1. Maximal abelian extension
  2. Local field
  3. Non-Archimedean analysis
  4. Arithmetic
  5. Area of mathematics
  6. Mathematics
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 Incoming links (1)

  • Past exam of the mathematics course of the University of Cambridge / 2025 / iii / Paper 136 / 5 / b / Solution

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