Global Fields#
Defining number fields, elements and embeddings.
Quadratic field creation, structure and element operations.
Cyclotomic field creation, structure and element operations.
Orders in number fields: creation, arithmetic and printing.
Automorphism groups, Galois groups, subfields and cohomology.
Abelian extensions, ray class fields and Galois module structure.
Étale algebra construction, attributes and homomorphisms.
Dirichlet and Hecke character construction and properties.
Algebraically closed field representation, structure and creation.
Rational function field creation, operations and elements.
Algebraic function field creation and structural invariants.
Class groups, abelian extensions and Witt rings for function fields.
Artin representation functions, invariants and arithmetic.