Concept
Ideal class group
Related lectures (35)
Logarithmic Embedding in Number Fields
Explores the properties and applications of logarithmic embeddings in number fields.
Dedekind Rings: Factorisation and Ideal Class Group
Explores Dedekind rings, factorisation, ideal class group, heredity, separable extensions, and matrix properties.
The Discriminant and Ideal Class Group in Mathematics
Explores the discriminant in matrices, ideal class groups, and optimal embeddings in mathematics.
Embeddings of Number Fields
Explores embeddings of number fields, types, signatures, lattices, and determinants.
Discrete Valuation Rings
Explores discrete valuation rings, their properties, uniqueness of representation, and relationship with principal ideal domains.
Ideal Class Group Relations
Covers the relations between the ideal class group and proper fractional ideals.
Number Fields: Embeddings and Ideal Classes
Covers the embeddings of number fields and ideal classes with proofs and examples.
The Ring of Eisenstein Integers: Properties and Applications
Covers the properties of the ring of Eisenstein integers and its submodule structure.
Integral Representations: Quadratic Lattices and Hasse Principle
Explores integral representations, quadratic lattices, and the Hasse Principle.
Hermite-Minkowski Theorems: Number Fields and Ideal Classes
Explores Hermite-Minkowski theorems in number fields and ideal classes.