Information Package / Course Catalogue
Group Theory
Course Code: MTK568
Course Type: Area Elective
Couse Group: Second Cycle (Master's Degree)
Education Language: Turkish
Work Placement: N/A
Theory: 3
Prt.: 0
Credit: 3
Lab: 0
ECTS: 6
Objectives of the Course

To acquaint students with new developments in group theory. To study some specific groups

Course Content

Fundamental concepts of group theory, Decompositions of groups, Soluble and Nilpotent groups

Name of Lecturer(s)
Learning Outcomes
1.To be able to obtain abstract thinking
2.To be able to prove Sylow Theorems
3.To be able to construct the new group from the old group
4.To be able to construct infinite group from finite group
5.To be able to classify the groups
Recommended or Required Reading
1.A course in the theoey of the groups, Derek R. J. Robinson
2.Locally Finite Groups , Otto H. KEGEL and Bertram A. F. WEHRFRITZ
3.Temel Grup Teorisi, Ali NESİN
Weekly Detailed Course Contents
Week 1 - Theoretical
Groups, subgroups
Week 2 - Theoretical
Normal groups, divisible groups, homomorphism theorems
Week 3 - Theoretical
Commutators
Week 4 - Theoretical
Semidirect and Wreath products
Week 5 - Theoretical
Abelian groups
Week 6 - Theoretical
Free groups
Week 7 - Theoretical
Divisible abelian groups
Week 8 - Theoretical
Sylow Theorems
Week 9 - Theoretical
Classify small groups
Week 10 - Theoretical
Soluble groups
Week 11 - Theoretical
Nilpotent groups
Week 12 - Theoretical
Locally finite groups
Week 13 - Theoretical
Finite soluble groups
Week 14 - Theoretical
Hall Pi-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 - Theory141356
Assignment110212
Term Project110212
Individual Work140114
Midterm Examination120222
Final Examination132234
TOTAL WORKLOAD (hours)150
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
5
5
4
5
4
3
2
2
OÇ-2
3
5
4
4
5
3
3
4
OÇ-3
4
4
5
5
5
3
4
4
OÇ-4
5
4
5
5
5
3
5
5
OÇ-5
5
5
4
5
4
3
3
4
5
Adnan Menderes University - Information Package / Course Catalogue
2026