Information Package / Course Catalogue
Group Theory II
Course Code: MTK608
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

Students to new developments in group theory. Some work with specific groups

Course Content

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

Name of Lecturer(s)
Learning Outcomes
1.Think in abstract terms
2.Construct the new group from the old group
3.Construct locally infinite group from finite group
4.Classify the groups
5.To be able to gain the skill of interpreting some interrelations among these concepts
Recommended or Required Reading
Weekly Detailed Course Contents
Week 1 - Theoretical
Locally finite groups
Week 2 - Theoretical
Maximal and minimal condition on subgroups
Week 3 - Theoretical
Cernikov groups
Week 4 - Theoretical
Automorphisms of Cernikov groups
Week 5 - Theoretical
Direct limit of groups
Week 6 - Theoretical
Inverse limit of groups
Week 7 - Theoretical
Linear groups
Week 8 - Theoretical
Classical Finite Groups
Week 9 - Theoretical
Hall Universal Groups
Week 10 - Theoretical
Locally Simple Groups
Week 11 - Theoretical
Finite Simple Groups
Week 12 - Theoretical
Groups Of Lie Type
Week 13 - Theoretical
Centralizers of elements in simple locally finite groups
Week 14 - Theoretical
Centralizers of elements in simple locally finite groups
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
4
4
4
4
4
4
3
4
3
3
4
OÇ-3
3
3
4
3
4
4
2
4
3
2
4
OÇ-4
4
4
4
4
4
4
3
4
3
3
4
OÇ-5
4
4
4
4
4
Adnan Menderes University - Information Package / Course Catalogue
2026