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- Conductor-discriminant formula
- Hilbert class field
- Hilbert class field characterization
- Idelic local-global reciprocity equivalence
- Kummer extension
- Kummer theory
- Past exam of the mathematics course of the University of Cambridge / 2003 / iii / Paper 23 / 1 / i / Solution
- Past exam of the mathematics course of the University of Cambridge / 2003 / iii / Paper 23 / 5 / ii / Solution
- Past exam of the mathematics course of the University of Cambridge / 2004 / iii / Paper 25 / 1 / i / Solution
- Past exam of the mathematics course of the University of Cambridge / 2004 / iii / Paper 25 / 3 / ii / Solution
- Past exam of the mathematics course of the University of Cambridge / 2004 / iii / Paper 25 / 5 / i / Solution
- Past exam of the mathematics course of the University of Cambridge / 2005 / iii / Paper 31 / 1 / ii / Solution
- Past exam of the mathematics course of the University of Cambridge / 2005 / iii / Paper 31 / 1 / i / Solution
- Past exam of the mathematics course of the University of Cambridge / 2005 / iii / Paper 31 / 4 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2005 / iii / Paper 31 / 5 / i / Solution
- Past exam of the mathematics course of the University of Cambridge / 2019 / iii / Paper 123 / 3 / ii / Solution
- Restriction and norm compatibility of the Artin map
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