Lecture 8. Finite Fields скачать в хорошем качестве

Lecture 8. Finite Fields

0:00 Characteristic of a field 2:22 Finite field as a vector space over Z_p 4:02 Construction of a finite field with p^n elements 5:48 Multiplicative group of a finite field is cyclic 16:40 A field with p^n elements is a splitting field of polynomial X^{p^n} - X 22:01 Subfields in finite fields 27:39 Frobenius map 33:09 The group of automorphisms of a finite field In this lecture we discuss the structure of finite fields, their subfields and automorphisms. 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)