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.

Groups and Rings

Course Code :1001WETGRC
Study domain:Mathematics
Academic year:2020-2021
Semester:2nd semester
Contact hours:60
Credits:6
Study load (hours):168
Contract restrictions: Exam contract not possible
Language of instruction:Dutch
Exam period:exam in the 2nd semester
Lecturer(s)Karim Johannes Becher

3. Course contents *

Basic Group Theory:

  • Isomorphism theorems, order of a group, normal subgroups, index of a subgroup (Lagrange's Theorem)
  • Classification of finite abelian groups
  • Permutations
  • Group actions, Sylow Theorems

Basic Ring Theory:

  • Ideals, modules, quotients
  • Principal ideal domains, factorial domains, polynomial rings
  • Prime ideals, maximal ideals, Zorn's Lemma and Krull's Theorem