Course: Group Theory
• Introduction to Group theory
• Cyclic group
• Cosets and Lagrange’s theorem
• Normal subgroup
• Quotient group
• Group homomorphisms
• Group isomorphisms
Syllabus: B.Sc. Mathematics Honors course
University: All Indian Universities
>> Present concepts and properties of various algebraic structures.
>> Investigate symmetry using group theory.
>> Understand the importance of algebraic properties with regard to working within various number systems.
>> Extend group structure to finite permutation groups (Cayley’s Theorem).