Week 03: Cosets decomposition of a group.
Malik D. S., Mordeson J. N., Sen M. K., Fundamentals of Abstract Algebra, (WCB/McGraw-Hill 1997)
Chapter No. 04: Page No. 116-119
Course Material
- Week 01: Revision of groups. Permutation groups: Definition, examples and related results
- Week 02: Cyclic groups: Definition, examples and related results
- Week 03: Cosets decomposition of a group.
- Week 04: Lagrange’s theorem and its consequences
- Week 05: Conjugacy classes
- Week 06: Centralizers and Normalizers
- Week 07: Normal Subgroups
- Week 08: Quotient groups
- Week 09: Winter Break
- Week 10: Mid Term
- Week 11: Homomorphism of groups, Cayley's theorem
- Week 12: Isomorphisms and Correspondence theorems
- Week 13: Endomorphisms and automorphisms of groups
- Week 14: P-groups, P-subgroups
- Week 15: Sylow's Theorems
- Week 16: Commutator subgroups
- Week 17: Definition and examples of Rings, Special classes of rings
- Week 18: Fields, Ideals, Ring homomorphism.
- Week 19: Final Term
- Chapters 19
- Department Mathematics
- Teacher
Dr. Iram Iqbal
