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Ramification group
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Related lectures (10)
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Hermite-Minkowski Theorems: Number Fields and Ideal Classes
Explores Hermite-Minkowski theorems in number fields and ideal classes.
Localization Theorem in Dedekind Rings
Explores the Localization Theorem in Dedekind rings, isomorphism induced by injection, and ramification in field theory.
Ramification Theory: Dedekind Recipe
Explores ramification theory, residue fields, Galois extensions, and decomposition groups in algebraic number theory.
Finite Extensions of Qp: Local Constancy
Discusses the classification of finite extensions of Qp and introduces Krassner's Lemma on root continuity.
Ramification Theory: Residual Fields and Discriminant Ideal
Explores ramification theory, residual fields, and discriminant ideals in algebraic number theory.
Ramified Extensions: Eisenstein Polynomials
Explores ramified extensions and Eisenstein polynomials, showcasing their applications in mathematical contexts.
Ramification and Structure of Finite Extensions
Explores ramification and structure of finite extensions of Qp, including unramified extensions and Galois properties.
Factorisation in Dedekind Ring
Explains the factorisation of ideals in a Dedekind ring using prime ideals and covers ramification index, residual fields, inertia degree, and properties of Dedekind rings.
Galois Theory of Qp
Explores the Galois theory of Qp, covering algebraic extensions, inertia groups, and cyclic properties.
Decomposition & Inertia: Group Actions and Galois Theory
Explores decomposition groups, inertia subgroups, Galois theory, unramified primes, and cyclotomic fields in group actions and field extensions.
