Hermite-Minkowski Theorems: Number Fields and Ideal Classes

Related lectures (30)

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Explores the properties and applications of logarithmic embeddings in number fields.

Covers the embeddings of number fields and ideal classes with proofs and examples.

Covers the Class Number Formula and a counting problem related to the lattice and Lipschitz principle.

Covers a general introduction and discusses algebra, emphasizing the importance of unique factorization in algebraic structures.

Explores embeddings of number fields, types, signatures, lattices, and determinants.

Explores Frobenius theorems in number theory, ideal class groups, norm properties, and geometry of numbers.

Covers a review of algebraic structures such as rings, fields, and groups, including integral domains, ideals, and finite fields.

Explores ramification theory, residual fields, and discriminant ideals in algebraic number theory.

Covers the relations between the ideal class group and proper fractional ideals.