Frobenius Theorems in Number Theory

Related lectures (30)

Page 2 of 3

Covers factorisation in PIDs, prime ideals, unique tuples, and common prime factors.

Explores the Galois correspondence and solvability by radicals in polynomial equations.

Explores decomposition groups, inertia subgroups, Galois theory, unramified primes, and cyclotomic fields in group actions and field extensions.

Explores ramification theory, residue fields, Galois extensions, and decomposition groups in algebraic number theory.

Explores well ordering, induction, Euclidean division, and prime factorization in integers.

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

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

Explores Galois theory, unramified primes, roots of polynomials, and finite residual extensions.

Explores prime numbers, coprime integers, and their properties in number theory.

Introduces sets, maps, divisors, prime numbers, and arithmetic principles related to integers.