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Local Kronecker-Weber theorem
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Mathematics
Area of mathematics
Arithmetic
Non-Archimedean analysis
Local field
Maximal abelian extension
Created
2026-09-24
Updated
2026-09-24
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The local Kronecker-Weber
theorem
states that every finite abelian extension of
Q
p
is contained in an extension obtained by adjoining
roots
of unity.
Ancestors
(7)
Maximal abelian extension
Local field
Non-Archimedean analysis
Arithmetic
Area of mathematics
Mathematics
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(1)
Past exam of the mathematics course of the University of Cambridge
/
2025
/
iii
/
Paper 136
/
5
/
b
/
Solution
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