| Course Category | Mathematics |
| Course Level | Undergraduate |
| Credit Hours | 3 |
| Pre-requisites | N/A |
| Instructor | Dr. Imran Ahmed Ph.D. Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan |
| Properties of real numbers Properties of complex numbers Bijective maps Inversion Theorem Isomorphic binary structures Groups Abelian Groups Finite Groups Subgroups Examples on subgroup test Cyclic Groups Elementary properties of Cyclic groups Fundamental Theorem of Cyclic Group Permutation Groups Theorem on permutation groups Orbits Cycle Decomposition Direct product Cosets Partition of group Lagrange’s Theorem Homomorphism of Groups Normal Subgroups Morphism Theorem for groups Factor group Normal groups and Inner Automorphism Simple Group Generating set Commutator subgroup Automorphisms Group Action on set Stablizer Conjugacy and G-sets Isomorphism Theorem Sylow Theorems First Sylow Theorems Second Sylow Theorems Third Sylow Theorems |
Course Category
Mathematics
Course Level
Undergraduate
Credit Hours
3
Pre-requisites
N/A
Instructor
Dr. Imran Ahmed
Ph.D.
Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan
Properties of real numbers
Properties of complex numbers
Bijective maps
Inversion Theorem
Isomorphic binary structures
Groups
Abelian Groups
Finite Groups
Subgroups
Examples on subgroup test
Cyclic Groups
Elementary properties of Cyclic groups
Fundamental Theorem of Cyclic Group
Permutation Groups
Theorem on permutation groups
Orbits
Cycle Decomposition
Direct product
Cosets
Partition of group
Lagrange's Theorem
Homomorphism of Groups
Normal Subgroups
Morphism Theorem for groups
Factor group
Normal groups and Inner Automorphism
Simple Group
Generating set
Commutator subgroup
Automorphisms
Group Action on set
Stablizer
Conjugacy and G-sets
Isomorphism Theorem
Sylow Theorems
First Sylow Theorems
Second Sylow Theorems
Third Sylow Theorems