Course curriculum

  • 1

    Chapter 1 : Groups and Subgroups

    • Lecture 1,2 : Binary Operation, Isomorphic Binary Structures

    • Lecture 3,4 : Groups, Examples of Groups

    • Lecture 5,6 : Theorems on Groups, Theorem 1,2,3,4,5

    • lecture 7,8 :Subgroup of a Group, Theorem 1, Some remarks, Examples

    • Lecture 8 : Theorem 2, Cyclic Groups, Theorem 3

    • Lecture 9 : Number Theory part1 (divisibility, and relative theorems)

    • Lecture 10 : Number Theory Part-2, Congruences, Group of Integers Modulo n

    • Lecture 15,16 : Theorem4,5

    • Lecture 17,18 : Theorem 6, Cosets , Theorem1

    • Lecture 19 : Theorem 2, with corollary, Theorem 3

    • Lecture 20 : Lagrange's theorem and its consequences , the index of a subgroup
  • 2

    New lectures

    • Lec1,2,3

    • Lecture4 Group Of Automorphisms

    • Lecture5 First isomorphism Theorem (PU Annual)

    • lecture 6 (Second Isomorphism Theorem)

    • Group Lecture 7,8 Group Of Inner Automorphism, Theorem (pu Annual)

    • Group Lecture 9,10 Normalizer and centraliser, Theorem 1,2,3