Groups and Rings

Course Code :1001WETGRC
Study domain:Mathematics
Academic year:2019-2020
Semester:2nd semester
Contact hours:60
Study load (hours):168
Contract restrictions: No contract restriction
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