Unlock Code - AnushaJ | Plus Educator | Assistant Professor | 5 years Teaching experience | Telegram Channel - MATHSQUARE

Anusha Jain

In this course we will cover all the topics of Group theory of Modern Algebra according to CSIR NET/JRF and GATE ME syllabus. Each and every point is well explained from basics so it can be beneficial for you.

Crack CSIR NET by studying MATHEMATICS, PHYSICS, LIFE SCIENCE, CHEMISTRY, EARTH SCIENCE on one online platform. Everything you need to crack JRF.

CSIR-UGC NET

Hindi

(Hindi) Group Theory - Pure Mathematics for CSIR NET/JRF : Part-3

Fundamental Theory of Arithmetic

Algebra

Mathematical Sciences

NET Exams

Ace the toughest competitive and government exams in India 

Test Preparation

This lesson is deals with the "Overview of Course".

Course Overview (in Hindi)

In this lesson I have listed down names of the topics of 'Group theory' i am going to cover.

Course Flow (in Hindi)

Here we will discuss some Sets as :
- Set of integers under modulo n, 
- Set of units

Sets-1 (in Hindi)

Here we will discuss some Sets as :
- Dihedral set

Sets - 2 (in Hindi)

Here we will discuss some Sets as :
- General linear sets, 
- Special linear sets,
- Quaternion sets,
- Klin's-4 sets.

Sets-3 (in Hindi)

Here we will discuss some Sets :-
- Symmetric set

Sets-4 (In Hindi)

Here we will study on 'Groups' and solve some problems related to the same.

Group-1 (In Hindi)

Group-2 (In Hindi)

Here we will study on 'Order of groups & Order of Elements' and solve some problems related to the same.

Order of Group and Order of Elements-1 (In Hindi)

Order of Group and Order of Elements-2 (In Hindi)

Order of Group and Order of Elements -3 (In Hindi)

In this video, we will study on 'Order of groups & Order of Elements' and will also solve some problems related to the same.

Order of Group and Order of Elements: Part-4(In Hindi)

Here we will study on 'Abelian groups' and solve some problems related to the same.

Abelian group (In Hindi)

Here we will study on 'Cyclic group' and some facts related to them.

Cyclic Group-1 (In Hindi)

Here we will study on some concepts of upto isomorphism groups of n order for find out the no. Of  'Abelian groups' and 'Cyclic group' of n order and solve some problems related to the same.

Cyclic group-2 (In Hindi)

Here we will study on 'Subgroups' and some facts related to them.

Subgroup: Part-1(In Hindi)

Here we will study on ' Subgroups' and solve some problems related to them.

Subgroup: Part-2(In Hindi)

Here we will study on the topic of ' Product of two Subgroups'. also discuss some Important result based on subgroups and solvable problems related to them.

Product of subgroups (In Hindi)

Here we will study on the topic of ' Centre of group'.

Centre of group :Part-1(In Hindi)

Centre of group :Part-2(In Hindi)

Here we will study on the topic of ' Centralizer'.

Centralizer (In Hindi)

Here we will study on the topic of ' Cosets'.

Cosets-1(In Hindi)

Coset -2 (In Hindi)

Here we will study on the topic of ' Normal Subgroup'.

Normal subgroup -1(In Hindi)

Normal subgroup -2 (In Hindi)

Here we will study on the topic of 'Quotient group'.

Factor group-1 (In Hindi)

Factor Group -2 (In Hindi)

Factor Group-3 (In Hindi)

Factor Group-4 (In Hindi)

This lesson covers some important facts related to Factor group.

Factor group -4 (In Hindi)

In this lesson we will discuss about Symmetric group, Transposition and Even permutation.

Symmetric group, Transposition, Even Permutation (In Hindi)

Here we will study on 'Odd permutation' and also discuss some results related to the same.

Odd Permutation, Results on Permutation (In Hindi)

Here we will study on 'Alternative Group'.

Alternative group -1 (In Hindi)

Here we will study on some tricks related to the Alternative group.

Alternative group -2 (In Hindi)

In this video we will Solve some problems related to 'Order of elements' and 'No of elements of any order' in group An and Sn.

Solving problems of group An and Sn (In Hindi)

In this video we will study on Normal subgroups of symmetric group, Alternative group.
Also we will study on simple group.

Simple group and Normal subgroups of Sn & An (In Hindi)

In this video we will learn How to construct Factor groups of Symmetric group and Alternative group.

Factor groups of Sn and An (In Hindi)

Here we will study on conjugate elements of group and Conjugate class of any element of group. And solve some problems related to the same.

Conjugate Element and Conjugate Class (In Hindi)

Here we will study on First class equation and Second class equation related to Conjugate class.

1st & 2nd Class equation (In Hindi)

In this video we will discuss short tricks for finding Conjugate Class of element of such groups as Abelian group, Cyclic group, Symmetric group, Alternative group, Dehidreal group and many more.also solve some questions related to the same.

Short tricks for finding conjugate class of element (In Hindi)

Here we will study on P-group, Sylow's 1st theorem and Sylow P-Subgroup.

Sylow's 1st Theorem (In Hindi)

In this lesson we will solve some problems related to Sylow's first theorem and P-SSG.

Solving Questions on Sylow's 1st theorem (In Hindi)

Here we will study on Sylow's 2nd theorem .

Sylow's IInd Theorem (In Hindi)

In this video, we will study on 'Sylow's 3rd Theorem' and solve some questions related to the same.

Sylow's 3rd theorem (In Hindi)

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Pankaj Kumar

In this course, the educator discusses an intuitive idea of Groups with Examples under Mathematical Sciences helpful for CSIR UGC NET Aspirants.

(Hindi) Groups (Properties and Examples): CSIR UGC NET

This course group theory for CSIR-UGC-NET/JRF with the concepts of Gallian and Dummit Foote has discussed beautifully.

Group Theory

M.Sc Mathematics  (Miranda House, DU).
GATE 2018 Qualified
cleared IIT JAM in 2015
Participated in many ppts. competition and my ppt. at Dep

Rupal Aggarwal

In this course we will be learning group theory where we will understand different concepts and methods to approach a particular problem. Basic focus will be on questions related to CSIR NET and questions related to other exams will also be covered.

(Hindi) Group Theory : CSIR-UGC NET

B.Sc done from rajasthan University | M.Sc mathematics done from Parul University | IIT JAM 2018 cleared | NET JRF with AIR-150

Gaurav Kumar Agrawal

This course covers the Group theory of Abstract Algebra.

(Hindi) Abstract Algebra CSIR-UGC NET JRF Mathematics

mathematics is not only a sub.,
it is also a part of our life,
so every time of life do mathematics and learn mathematics

Ajay Kumar

We shall study subgroups and the various related results and Theorems in this course.  We also study cyclic groups and Theorems  in this course.

Lessons

44 lessons • 8h 56m