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Norm and trace: pdf.
Class groups and quadratic forms: pdf.
Some vertical factorization: pdf.
Discriminant ideals: pdf.
Etale algebras: pdf.
Transitivity of discriminants: pdf.
Absolute values: pdf.
S-integer lattice: pdf.
Adelic lattice: pdf.
Adeles as dual group: pdf.
Completion of algebraic closure: pdf.
Tameness and composite fields: pdf.
Examples concerning extensions of local fields pdf.
Higher ramification groups pdf.
Surjectivity for inertia and wild inertia groups pdf.
Compactness results for the idele group pdf.
Character associated to a quadratic field pdf.
Global extensions approximating local extensions pdf.
Dirichlet density for global fields pdf.