Groups and Rings

Course Code :1001WETGRC
Study domain:Mathematics
Academic year:2017-2018
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