Information Package / Course Catalogue
Group Theory I
Course Code: MTK607
Course Type: Area Elective
Couse Group: Third Cycle (Doctorate Degree)
Education Language: Turkish
Work Placement: N/A
Theory: 3
Prt.: 0
Credit: 3
Lab: 0
ECTS: 8
Objectives of the Course

To give new developments in group theory. To work some specific groups.

Course Content

Finite Groups, Solvable, nilpotent, commutative groups, Locally finite groups.

Name of Lecturer(s)
Learning Outcomes
1.To think in abstract terms
2.To prove Sylow Theorems
3.To construct the new group from the old group
4.To construct infinite group from finite group
5.To classify the groups
Recommended or Required Reading
Weekly Detailed Course Contents
Week 1 - Theoretical
Commutative Groups
Week 2 - Theoretical
Torsion, Divisible, Torsion Free groups
Week 3 - Theoretical
Pure Subgroups
Week 4 - Theoretical
Finitely generated abelian groups
Week 5 - Theoretical
Soluble Groups
Week 6 - Theoretical
Nilpotent Groups
Week 7 - Theoretical
Hall Pi-Groups
Week 8 - Theoretical
Permutation groups
Week 9 - Theoretical
Permutation groups
Week 10 - Theoretical
Representations
Week 11 - Theoretical
Fixed-point free automorphisms
Week 12 - Theoretical
Locally nilpotent groups
Week 13 - Theoretical
Locally solvable groups
Week 14 - Theoretical
Finiteness properties
Assessment Methods and Criteria
Type of AssessmentCountPercent
Assignment1%5
Term Assignment1%5
Midterm Examination1%20
Final Examination1%70
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory140342
Assignment1066
Term Project1066
Individual Work140570
Midterm Examination130232
Final Examination142244
TOTAL WORKLOAD (hours)200
Contribution of Learning Outcomes to Programme Outcomes
PÇ-1
PÇ-2
PÇ-3
PÇ-4
PÇ-5
PÇ-6
PÇ-7
PÇ-8
PÇ-9
PÇ-10
PÇ-11
PÇ-12
PÇ-13
PÇ-14
PÇ-15
OÇ-1
3
3
4
3
4
4
2
4
3
2
4
OÇ-2
3
3
4
3
4
4
2
4
3
2
4
OÇ-3
4
4
4
4
4
4
3
4
3
3
4
OÇ-4
3
3
4
3
4
4
2
4
3
2
4
OÇ-5
4
4
4
4
4
4
3
4
3
3
4
Adnan Menderes University - Information Package / Course Catalogue
2026