Fundamental theorem of Galois theory

Related lectures (29)

Page 3 of 3

Covers the Galois correspondence, relating subgroups to intermediate fields.

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

Covers the decomposition of a finite field and the concept of roots.

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

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

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

Covers prime numbers, unique decomposition of natural numbers into prime factors, and practical implications for calculations.

Covers algebraic subsets of A^1 and ideals with a finite set of points.

Explores the properties and applications of finite fields, including isomorphism and cyclic properties.