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 I'm discussing all the important topic of Abstract algebra (Group Theory).
Why we study group theory ? 
Group of symmetry, Group, Cyclic group Number theory, Normal subgroup, Quotient group, 
Isomorphism & Homomorphism etc.

IIT-JAM 

Hindi

(Hindi) Abstract Algebra (Group Theory)

Groups & Subgroups

Group Theory

Mathematics

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In this lecture series I'm discussing about all the important topic of abstract Algebra (Group Theory).
Some Application of group theory.

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Overview of the Course. (in Hindi)

In this lecture, I'm discussing about algebraic structure.
Binary operations and it's example.

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Binary operations. (in Hindi)

In this lecture I'm discussing about groups , abelian group and it's Properties.
And some important examples of abelian group.

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Groups (Part-I) (in Hindi)

In this lecture I'm discussing some important examples of group.
How to prove that the given set is a group or not ?

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Groups (Part-II) (in Hindi)

In this lecture, I'm discussing about congruence modulo n & Z_n.
Order of an element and some important points.

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Groups (Part-III) (in Hindi)

In this lecture I'm discussing about subgroup and it's Properties and related examples.
One step subgroup test, second step subgroup test & Finite subgroup test.
How to find an inverse of an element in a group ?

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Subgroup (in Hindi)

In this lecture I'm discussing about cyclic group and it's Properties & discussed some some important examples.

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Cyclic group (Part-I) (in Hindi)

In this lecture I'm discussing the properties of cyclic group & some important examples.

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Cyclic group (Part-II) (in Hindi)

This is the third lecture of cyclic group. In this lecture I'm discussing phi function & how to calculate phi function.

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Cyclic group (Part- III) (in Hindi)

This is the last lecture of cyclic group.
In this lecture I'm discussing about some important properties of cyclic group & Tau - function.

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Cyclic group (Part- IV) (in Hindi)

In this lecture, I'm discussing about the Kelin's four- group and its Properties. Ans some other important points.

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Klein's Four - Group. (in Hindi)

In this lecture I'm discussing about Quaternion group (Q_8) and its Properties.

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Quaternion Group. (in Hindi)

In this lecture I'm discussing about Permutation group OR Symmetric group.

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Permutation group (Part-I) (in Hindi)

In this lecture I'm discussing about Permutation group (Symmetric group) & order of permutation group.
How to represent a Permutation in array form.

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Permutation group (Part- II) (in Hindi)

In this lecture I'm discussing about permutation group. And How to define a Permutation group on a given set.

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Permutation group (Part-III) (in Hindi)

In this lecture I'm discussing "How to commute two Permutation with the binary operations function composition".

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Permutation group (Part- IV) (in Hindi)

In this lecture I'm discussing about cyclic notation of any Permutation. And How to commute two cycle with respect to function composition.

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Permutation group (Part- V) (in Hindi)

In this lecture I'm discussing about Transpositions (2-cycle) and Disjoint cycle.
And some important examples.

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Permutation group (Part- VI) (in Hindi)

In this lecture I'm discussing about order of Permutation and some important points related to disjoint cycle.

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Permutation group (Part- VII) (in Hindi)

In this lecture I'm discussing about even permutation & odd permutation and some important points.

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Permutation group (Part- VIII) (in Hindi)

This is the last lecture of Permutation group. In this lecture I'm discussing some important questions related to Permutation group.
In the next lecture I'm discussing Alternating group (A_n).

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Permutation group (Part- IX) (in Hindi)

In this lecture I'm discussing about Alternating group (A_n) with proof & some important properties.

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Alternating group (Part- I) (in Hindi)

In this lecture I'm discussing about some important properties of Alternating group.
And Partition of Natural Number & cycle decomposition.

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Alternating Group (Part- II) (in Hindi)

In this lecture I'm discussing all the topic of Permutation group in short form.
Ex.: Symmetric group of 1 symbol.

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Summary of Permutation group (Part- I) (in Hindi)

In this lecture I'm discussing all the topic of Permutation group in short form.
Ex.; Symmetric group of 2 symbol.

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Summary of Permutation group (Part-II) (in Hindi)

Finally This is the last lecture of Permutation group & Alternating group.
In this lecture I'm discussing summary of Alternating group.

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Summary of Alternating group (in Hindi)

Some Important Group of Infinite Order (Part-I) (in Hindi)

Some important group of infinite order (Part- II) (in Hindi)

Some important group of infinite order (Part-III) (in Hindi)

Cosets and Lagrange's theorem (Part- I)

#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.

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

The next and important topic in group theory is cosets and Lagrange theorem.This is the basic introduction regarding what is coset and then I will discuss on Lagrange's Theorem. This Course is beneficial for  IIT-JAM (Mathematics-MA) aspirants.

Coset and Lagrange's Theorem - IIT-JAM (Mathematics-MA)

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

Jyoti Jha

This course will explain everything about groups and subgroups which will be helpfull for IIT Jam aspirants.

Groups : IIT-JAM (Mathematics-MA)

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

Swapnil Sundriyal

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

30 lessons • 6h 18m

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Overview of the Course. (in Hindi)

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Binary operations. (in Hindi)

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Groups (Part-I) (in Hindi)

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Groups (Part-II) (in Hindi)

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Groups (Part-III) (in Hindi)

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Subgroup (in Hindi)

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Cyclic group (Part-I) (in Hindi)

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Cyclic group (Part-II) (in Hindi)

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Cyclic group (Part- III) (in Hindi)

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Cyclic group (Part- IV) (in Hindi)

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