Group Theory

• Explain various fundamental concepts of group theory.

• Determine various types of group structures and their properties. 

• Use a combination of theoretical knowledge and mathematical thinking to solve problems and construct proofs in group theory.

• Dummit, D. S., & Foote, R. M. (2004). Abstract algebra (Vol. 3). Hoboken: Wiley.

• Fraleigh, J. B. (2003). A first course in abstract algebra. Pearson Education India.

• Gallian, J. (2021). Contemporary abstract algebra. Chapman and Hall/CRC.

• Malik, D. S., Mordeson, J. N., & Sen, M. K. (1997). Fundamentals of abstract algebra. McGraw-Hill.

Chapter 1 Groups and Isomorphisms 

Chapter 2 Cyclic Groups

Chapter 3 Direct Product of Groups

Chapter 4 Group Actions

Chapter 5 Sylow Theorems

Chapter 6 Classification of Groups 

Chapter 7 Series of Groups 

Tutorial 1 Groups

Tutorial 2 Isomorphisms

Tutorial 3 Cyclic Groups

Tutorial 4 Direct Product of Groups

Tutorial 5 Group Actions

Tutorial 6 Centralizer, Normalizer and Center

Tutorial 7 Sylow Theorems

Tutorial 8 Classification of Groups

Tutorial 9 Nilpotent Groups

Tutorial 10 Solvable Groups