Course information

Group actions, Burnside s theorem and applications, p-groups, the Sylow theorems, the class equation, applications. Introduction to Ring Theory. Polynomial rings, integral domains. Prime and maximal ideals, ring homomorphisms, isomorphism theorems. Field extensions, geometric constructions, finite fields. Automophisms, Galois theory, applications.This course is useful to those who have selected the stream «Mathematics for Information Sciences».