FREE
Created by -
0.00
(0 ratings)
English
Wishlist
Overview
This course will introduce abstract groups
free
Type: Online
This course includes
Taken this course?
Share your experience with other students
free
Type: Online
This course includes
Taken this course?
Share your experience with other students
Introduction to Abstract Group Theory
Created by -
0.00
(0 ratings)
Start Date: August 17th 2020
Course Description
This course will introduce abstract groups. We will start with definitions, basic properties and constructions and cover many important theorems in basic group theory, such as Lagrange’s theorem, Cauchy’s theorem and Sylow theorems. A major emphasis of the course will be to present numerous worked-out examples and problems. A part of the lecture every week will be devoted to explicit calculations.
INTENDED AUDIENCE:BSc, MSc students studying mathematics
PREREQUISITES: Any BSc student who is familiar with high school mathematics can take this course
INDUSTRY SUPPORT: NIL
Course Structure
COURSE LAYOUT
Week 1: Motivation, definition, examples and basic properties
Week 2: Subgroups, subgroups of integers, homomorphisms
Week 3:Quotient groups, isomorphism theorems
Week 4: Group operations, counting formula
Week 5: Symmetric groups
Week 6: Operations of a group on itself, class equation
Week 7: Sylow theorems I
Week 8: Sylow theorems II
Tags
Mark Complete
About the Instructor
Prof.Krishna Hanumanthu,Chennai Mathematical Institute
No Reviews at this moment.