MATH463 GROUP THEORY
Course Code: |
2360463 |
METU Credit (Theoretical-Laboratory hours/week): |
3(3-0) |
ECTS Credit: |
6.0 |
Department: |
Mathematics |
Language of Instruction: |
English |
Level of Study: |
Undergraduate |
Course Coordinator: |
Prof.Dr. AHMET ÝRFAN SEVEN |
Offered Semester: |
Fall Semesters. |
Prerequisite: |
Set 1: 2360367
|
The course set above should be completed before taking
MATH463 GROUP THEORY. |
Course Content
Group, subgroup, normal subgroup, cyclic subgroup, coset, quotient group. Commutator subgroup, center, homomorphism and isomorphism theorems (invariant subgroup, wreath products), Abelian groups. Free abelian group, rank of an abelian group. Divisible abelian group, periodic Abelian group. Sylow Theorems and their applications, soluble groups, nilpotent groups.