This information sheet indicates how the course will be organized at pandemic code level yellow and green.
If the colour codes change during the academic year to orange or red, modifications are possible, for example to the teaching and evaluation methods.

Fields and Galois theory

Course Code :1002WETKLG
Study domain:Mathematics
Academic year:2020-2021
Semester:1st semester
Sequentiality:-
Contact hours:60
Credits:6
Study load (hours):168
Contract restrictions: No contract restriction
Language of instruction:English
Exam period:exam in the 1st semester
Lecturer(s)Boris Shoykhet

3. Course contents *

  • Rings of polynomials, the procedure of joining a root of a polynomial to the field.
  • Algebraic field extensions, normal extensions.
  • Definition and construction of an algebraic closure of a field.
  • Basis of Galois theory, Galois correspondence between subextensions and subgroups.
  • Cyclotomic field extensions.
  • Applications of Galois theory: solving of concrete polynomial equations, constructions with ruler and compass.
  • Proof of the Fundamental Theorem of Algebra.