#FreeEducationForAll. Doing Bachelor's(3rd Year) from BHU. Inspire Scholar. 64 Rank IIT JAM Physics. TIFR GS 2020 QUALIFIED. 

Siddharth Sahu

Here we will cover the whole Group theory. 
This Course is beneficial for IIT-JAM aspirants.

IIT-JAM 

English

Group Theory : IIT-JAM

Groups & Subgroups

Group Theory

Mathematics

GATE, ESE and IIT-JAM

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Test Preparation

Welcome to this Group theory course,  In this video we talk about a very basic concept of Symmetry and Transformation that leads us to idea of Group.

Introduction To Transformation And Symmetry

Today we talk about Symmetry Group,  the key concept to visualize the Group theory and I the last few minutes discuss some of the uses of Symmetry.

Symmetry Group

Standard Definition of Group and Examples.

Group

Here I tried to convince you to think numbers as Action. That give a visual way to think of groups.

Visualization Of Additive Group

Examples of Groups : 2X2 Matrix under addition , GL(2,R) , Addition Modulo,  U(n) Under Multipication Modulo.

Examples Of Groups

There are two theorem for testing the subgroups.  Let's  take a look on them.

Subgroup Test

Here We will talk about Finite subgroup test that is applicable only on Finite subset of G.

Finite Subgroup Test

Here we talk about Four property of Groups
1.Uniquenessof Identity 2. cancellation Law 3. Uniqueness of inverse 4. Shock-shoes Property.

Properties Of Groups

In today's lecture we talk about Order of Group,  Order of Element and Subgroups.

Subgroups

Problem Set 1

In today's lecture we talk about Center of A Group and Watch a theorem that say that it form a subgroup of a G.

Center Of Group

In this video I give you a short talk on centralizer of a group.

Centralizer Of A Group

IIT J̊ÅM̊ QUALIFIED,post graduate,and further study on pure mathematics ...for any question (8923290203)

Swapnil Sundriyal

The educator discusses New Way to Find Subgroup in Group Theory for IIT-JAM.

(Hindi) New Way to Find Subgroup in Group Theory: IIT-JAM

Hello everyone...I am doing Integrated M.sc in Mathematics and Computing from BIT Mesra.I am very much interested in programming and web des

Divyasha Sinha

In this course, educator will be teaching about
 basic introduction to group and subgroup.This will be helpful for students preparing for IIT-JAM .

Group Theory (Groups and Subgroups) - IIT JAM

Youtube channel "KEEP LEARNING WITH AMRESH KUMAR"
B.Sc. computer science
M.Sc. mathematics 
B.Ed.
UP PRT,UP TGT,CTET qualified
6+ year teach

Amresh Kumar

Group theory and subgroup theory for BA /B.Sc students

(Hindi) An Introduction to Group Theory: IIT JAM

M.Sc. Mathematics from IIT Roorkee
B.Sc. Mathematics from Delhi University
YouTube: Algorithm Education
SME at Chegg
3+ years teaching Exper

Upendra Yadav

In this lecture series we'll discuss all the important topic related to Sets & Relation as Types of relation, Equivalence Relation, Fundamental theorem on Equivalence relation, Congruence Relation, Chinese Remainder theorem and some Important Theorem

(Hindi) IIT-JAM: Sets and Relation

This Course covers Order of Group and Order of Element 
This Course is beneficial for IIT-JAM aspirants.

(Hindi) Order of Group and Order of Element : IIT-JAM

In this course, our focus will be on the Cyclic and Permutation group. Please watch the previous course on Groups and Subgroups. This course is useful for undergraduate students and IIT JAM aspirants.

Lessons

12 lessons • 1h 26m

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Introduction To Transformation And Symmetry

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Symmetry Group

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Group

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Visualization Of Additive Group

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Examples Of Groups

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Subgroup Test

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Finite Subgroup Test

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Properties Of Groups

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Subgroups

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Problem Set 1

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