|
Week - 1 |
Basics; Properties of the integers and rational numbers, |
|
Week - 2 |
Euclidean algorithm, fundamental theorem of arithmetic, Euler phi-function, Fermat theorem, Linear Congruence, modular arithmethic. |
|
Week - 3 |
Definitions and examples of groups. |
|
Week - 4 |
Direct Products. |
|
Week - 5 |
Subgroups, cyclic groups and subgroups of cyclic groups . |
|
Week - 6 |
Lagrange Theorem. |
|
Week - 7 |
Normal subgroups. |
|
Week - 8 |
The homomorphism and isomorphism theorems. |
|
Week - 9 |
Symmetric groups. |
|
Week - 10 |
Factor groups. |
|
Week - 11 |
Finite abelian groups. |
|
Week - 12 |
Classification of finite abelian groups. |
|
Week - 13 |
p-Sylow subgroups. |
|
Week - 14 |
Applications of the Sylow Theorems. |
Eskisehir Technical University Info Package 
Turkish 
English