COURSE INFORMATON
Course Title Code Semester L+P Hour Credits ECTS
Group Theory * MT   313 5 3 3 5

Prerequisites and co-requisites
Recommended Optional Programme Components None

Language of Instruction Turkish
Course Level First Cycle Programmes (Bachelor's Degree)
Course Type
Course Coordinator Prof.Dr. Hayrullah AYIK
Instructors
Prof.Dr.HAYRULLAH AYIK1. Öğretim Grup:A
Prof.Dr.HAYRULLAH AYIK2. Öğretim Grup:A
 
Assistants
Goals
The aim of this course is to understand basic definitions and theorems of group theory, recognize some special groups and groups construction, recognize normal subgroups and quotient groups, recognize permutation groups and counting its elements, understand and solve problems with isomorphism theorems, understand Sylow Theorems and solving problems using Sylow Theorems.
Content
Fundamental definitions and theorem of group theory, Some special groups and group construction, Permutation groups and counting its elements, Groups symmetry, Normal subgroups and its properties, Quotient groups, Counting with groups, Isomorphism theorems, Examples of using isomorphism theorems, Group actions, Basic groups, Sylow Theorems and its applications, Clasification of small order groups under isomorphism

Learning Outcomes
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