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Course Information

Course Information

Course Title	Code	Semester	L+U Hour	Credits	ECTS
ALGEBRA-I	801500715570		3 + 0	3.0	8.0

Prerequisites

None

Language of Instruction	Turkish
Course Level	Graduate Degree
Course Type	Compulsory
Mode of delivery	Oral presentation, answer-question, discussion, solving problems
Course Coordinator
Instructors	Ali Bülent EKİN
Assistants
Goals	Groups, Semigroups , Monoids, Homomorphism and subgroups, Cyclic groups, Cosets and counting, Normality, Quotient groups and homomorphisms, Symmetric groups, Alternating and dihedral groups, Categories, Direct products and direct sums, Free groups, Free abelian groups, Finitely generated abelian groups, The Krull-Schmidt theorem, The action of a group on a set, The Sylow theorems, Classification of finite groups, Nilpotent and Solvable groups, Normal and subnormal series.
Course Content	Groups, Semigroups , Monoids, Homomorphism and subgroups, Cyclic groups, Cosets and counting, Normality, Quotient groups and homomorphisms, Symmetric groups, Alternating and dihedral groups, Categories, Direct products and direct sums, Free groups, Free abelian groups, Finitely generated abelian groups, The Krull-Schmidt theorem, The action of a group on a set, The Sylow theorems, Classification of finite groups, Nilpotent and Solvable groups, Normal and subnormal series.
Learning Outcomes	1) Learns groups, semigroups, subgroups and cyclic groups 2) Learns normality, quotient groups and homomorphisms. 3) Have knowledge about the direct products and direct sums 4) Learns the action of a group on a set and the Sylow theorems 5) Learns the classification of finite groups