Ramification theory
How primes split, ramify and stay inert in finite extensions of Dedekind domains and discrete valuation rings, measured by the different, the discriminant, ramification indices, inertia degrees and Frobenius elements.
- Decomposition and inertia groups
- Different and discriminant ideals
- Extensions of valuations above a prime
- Frobenius elements
- Monogenic extensions of discrete valuation rings
- Ramification index and inertia degree
- Ramification of cyclotomic extensions
- Tame and wild ramification
- Tame ramification and the different
- Totally ramified extensions and Eisenstein polynomials
- Unramified extensions and residue field extensions
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