Group Theory-1

Speaker : Amaresh Jaiswal
Title : Group Theory Introduction

Definition of Groups, and a few theorems were covered in this talk.
It was a very basic talk which covered few theorems like uniqueness of identity, uniqueness of inverse etc.
Permutation Group and some notations regarding it were developed.
The multiplication table of the permutation group was studied.
Definition of Classes, Subgroups were given
An important theorem known as Lagrange Theorem was studied and proved.
Invariant subgroups were defined and a definition of simple and semi simple groups was also given.