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Introduction to Abstract Group Theory

Created by -

Prof.Krishna Hanumanthu
,
Chennai Mathematical Institute

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English

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Overview

This course will introduce abstract groups

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free

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Type: Online

This course includes

  • 8 weeks long
  • Paid Certificate Available

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course image

free

provider image

Type: Online

This course includes

  • 8 weeks long
  • Paid Certificate Available

Taken this course?

Share your experience with other students

Share

Add Review

Introduction to Abstract Group Theory

Created by -

Prof.Krishna Hanumanthu
,
Chennai Mathematical Institute

0.00

(0 ratings)

All Levels

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

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About the Instructor

Prof.Krishna Hanumanthu,Chennai Mathematical Institute

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