Course Code     : PMAT 42843

Title                   : Group Theory

Pre-requisites    : PMAT 21553

 Learning Outcomes:

At the end of the course the student should be able to demonstrate knowledge of the structure of Groups and to apply the knowledge in solving problems in different areas in Algebra.

 Course Contents:

Groups, Subgroups, Normal subgroups, Quotient groups, Permutation groups, Derived group, Homomorphisms, Automorphisms, Isomorphism theorems, Sylow's theorems, Internal direct product, Structure theory of finite Abelian Groups, Groups of small order.

 Method of Teaching and Learning: A combination of lectures, tutorial discussions and presentations.

 Assessment: Based on tutorials, tests, presentations and end of course examination.

 Recommended Reading: 

1. Khanna, V.K. & Bhambri, S.K., (2016) A Course in Abstract Algebra, Vikas Publishing House.
2. Frakeigh, J.B., (2003) A first course in Abstract Algebra, Pearson Education India.
3. Baumslag, B. & Chandler, B., (1968) Group theory, McGraw-Hill, New York.
4. Narayan, S. & Pal, S., (1992) A Text Book of Modern Abstract Algebra, S.Chands, India. (1992).
5. Rotman, J.J., (4^th edition, 2014) An Introduction to the Theory of Groups, Springer-Verlag.
6. Linda Gilbert, (8^th edition, 2014) Elements of Modern Algebra (8e) Cengage Learning.