Galois theory

Related lectures (32)

Page 3 of 4

Covers the Galois correspondence, establishing a bijection between certain classes of groups and coverings.

Explores Galois fields, elliptic curve cryptography, arithmetic operations, group structure, and practical examples in cryptography.

Explores purely inseparable decompositions, Galois property, and algebraic closures.

Covers the concept of finite degree extensions in Galois theory, focusing on separable extensions.

Discusses the classification of finite extensions of Qp and introduces Krassner's Lemma on root continuity.

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

Explores Tarski's fixed point theorem, omega continuity, Galois connection, and abstract interpretation concepts.

Explores solvable groups, group actions, normalizers, and stabilizers in group theory.

Explores the properties and structure of Sylow subgroups in group theory, emphasizing a theorem-independent approach.

Introduces the theory of categories by generalizing the Cartesian product and disjoint union of sets to any category.