Groups

Chapter 5: Groups (23 videos)   (Practice Test)

5.1: Binary Operations

1. Introduction to Binary Operations
2. Problem-Introduction to Binary Operations

5.2: Multiplication ( or Composition ) Table  (Practice Test)

1. Multiplication Table
2. Problem-Multiplication Table
3. Operations on Residue Classes Modulo n
4. Problem-Operations on Residue Classes Modulo n

5.3: Properties of Binary Operations

1. Properties of Binary Operations
2. Problem-Properties of Binary Operations

5.4: Algebraic Structure

1. Introduction to Semi-Group
2. Problem-Introduction to Semi-Group

5.5: Groups  (Practice Test)

1. Introduction to Groups
2. Problem-Introduction to Groups
3. Introduction to Abelian and Non-Abelian Group
4. Problem-Introduction to Abelian and Non-Abelian Group
5. Finite and Infinite Group
6. Problem1-Finite and Infinite Group
7. Problem2-Finite and Infinite Group
8. Introduction to Reversal Laws of Inverses
9. Problem-Introduction to Reversal Laws of Inverses
10. Theorems on Groups
11. More on Theorems on Groups
12. Problem-Theorems on Groups
13. Problem-Theorems on Abelian Groups