Lecture 20. Galois Groups and Reduction mod p скачать в хорошем качестве

Lecture 20. Galois Groups and Reduction mod p

0:00 Transitive action of the Galois group on a set of prime ideals 12:46 Integral elements in the Galois extension 27:10 Example: integral elements in Q[sqrt(5)]. 29:48 Dedekind Theorem: information about the Galois group from the reduction mod p 50:35 Example: Galois group of a polynomial of degree 4 55:27 A useful Lemma about the group of permutations In this lecture we prove Dedekind's Theorem that relates Galois groups of polynomials over Q to their reductions mod p. This is a lecture in a graduate course "Groups and Galois Theory". Here is the complete playlist for this course:    • Groups and Galois Theory (remastered)