1 Day 1 Module 1: Binary Operations
Day 2 Module 2: Introduction to Groups
Day 3 Module 3: More Examples to Groups
Day 4 Module 4 : Elementary properties of Groups
2 Day 1 Module 5 : Subgroups
Day 2 Module 6 : Cyclic Groups
Day 3 Module 7 : Properties of Cyclic Groups
Day 4 Module 8 : Classification of Subgroups of Cyclic Groups
3 Day 1 Module 9 : Problems on subgroups of cyclic group
Day 2 Module 10 : Order of an element
Day 3 Module 11 : : Permutation Groups
Day 4 Module 12 Symmetric Group S_n
Day 5 Assignment
4 Day 1 Module 13 : Orbits and Cycles
Day 2 Module 14 : On Cyclic Permutations
Day 3 Module 15 : Permutation as product of Transpositions
Day 4 Module 16 : Alternating Groups A_n
5 Day 1 Module 17 : Generating Sets of S-n and A_n
Day 2 Module 18 : Conjugate Elements,Conjugacy Class
Day 3 Module 19 : Conjugacy in S_n
Day 4 Module 20 : The Dihedral Group
6 Day 1 Module 21 : Quaternion Group
Day 2 Module 22 : Some Problems of Permutation Group
Day 3 Module 23: Cosets
Day 4 Module 24 : Lagrange's Theorem
Day 5 Assignment
7 Day 1 Module 25 : Fermat's Theorem
Day 2 Module 26 : External Direct Product -Part I
Day 3 Module 27: External Direct Product -Part II
Day 4 Module 28 : Group Homomorphism -Part I
8 Day 1 Module 29 : Properties of Homomorphism
Day 2 Module 30 : Group Homomorphism -Part II
Day 3 Module 31 : Normal Subgroups
Day 4 Module 32 : Kernel of a Homomorphism-Part I
9 Day 1 Module 33: Kernel of a Homomorphism-Part II
Day 2 Module 34 : Index of a Subgroup
Day 3 Module 35 : Factor Groups-Part I
Day 4 Module 36 :Factor Groups-Part II
Day 5 Assignment
10 Day 1 Module 37 : Examples of Normal Subgroups
Day 2 Module 38 : Problems in Cosets and Factor Groups
Day 3 Module 39 : Cauchy's Theorem
Day 4 Module 40 : Group Isomorphism
Day 5 Assignment
11 Day 1 Module 41 : Properties of Isomorphism
Day 2 Module 42 : The First Isomorphism Theorem
Day 3 Module 43 : Prerequisites for Second Isomorphism Theorem
Day 4 Module 44 : Second Isomorphism Theorem
12 Day 1 Module 45 : Third Isomorphism Theorem
Day 2 Module 46 : Cayley's Theorem
Day 3 Module 47 : Product of Subgroups
Day 4 Module 48 : Center of a Group
13 Day 1 Module 49 : Centralizer of an element
Day 2 Module 50 : Normalizer of a subgroup
Day 3 Module 51: Commutator Subgroup
Day 4 Assignment
DOWNLOAD APP
FOLLOW US