An INSPIRE scholar, post graduate from University of Delhi, enthusiastic and disciplined person

Harpinder Singh

It is an introductory course on Group Theory. It talks about various properties of groups and the homomorphisms between them.

Crack UPSC CSE Prelims and Mains Exams. Know how to prepare for UPSC 2019 and 2020, complete syllabus, exam patterns, latest notifications to join IAS, IFS, IPS and other cadres of Civil Services.

UPSC CSE - GS

UPSC - Civil Services Examination (IAS) Preparation

English

Introduction to Group Theory

Mathematics

Practice & Crash Course

Environment & Ecology

UPSC CSE

Ace the toughest competitive and government exams in India 

Test Preparation

Union Public Service Commission Exams (UPSC)

Definition of binary operation and group.

In this lesson, we will see some examples of the groups.

Examples of Groups

Addition modulo n and multiplication modulo n and the corresponding groups.

Finite Sets Forming Groups

In this lesson, we will learn Matrices and quaternion group.

Matrices and Other Examples

Elementary properties with all the techniques explained.

Elementary Properties

Questions explaining the techniques of solving them.

Important Questions: Part 1

In this lesson, we will solve some typical questions.

Important Questions: Part 2

Proof of Zn* is a group wrt multiplication modulo n iff n is prime.

Theorem on Multiplication Modulo n

In this lesson, we will learn about Dihedral group and various compositions in it.

Dihedral Groups: D4

In this lesson, we will learn about Dihedral group: D3 and its symmetries.

Dihedral Groups: D3

[Rachna Shukla] PSIR Optional Faculty, Computer science Engineer, Use code : "ASHNASISODIA" to unlock classes.

Ashna Sisodia

In this course, the educator will analyse the important facts and concepts that can be asked in environment section of GS 3 paper in mains examination as well as for Preliminary examination of UPSC CSE.

Enviornment (GS 3) Most Probable Topics for UPSC CSE 2018 - Pre and Mains

Travelling gives you 'experience' & teaching 'immortalizes' it.  Loves both :)  

Vimal Singh Rathore

In this course, aspirants will get to know all the important concepts, conventions, agreements and latest initiatives in Environment and Ecology, for UPSC/IAS and all other competitive exams.

(Hindi) Everything in Environment and Ecology for UPSC/IAS

India's Top Geography Educator | Use invite code - 'SGYT10' to Unlock my Free Content | Explore the World of Geography like a Pro!

Sudarshan Gurjar

This Course is about Highly yielding topics related with Current Government programs in Environment. Highly recommended for UPSC, State, PSC

(Hindi) Government Programmes and Schemes - Environment for UPSC

In this course Vimal has explained all the important conventions on Environment and Ecology. This is one of the most important and scoring section of UPSC Prelims and other State Civil Services Exams.

Important International Conventions on Environment and Ecology

Everything in Environment and Ecology for UPSC/IAS

This Course is All about Eutrophication!! This Course is beneficial for UPSC CSE aspirants.

Lessons

10 lessons • 1h 56m

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Introduction to Group Theory

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Examples of Groups

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Finite Sets Forming Groups

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Matrices and Other Examples

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Elementary Properties

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Important Questions: Part 1

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Important Questions: Part 2

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Theorem on Multiplication Modulo n

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Dihedral Groups: D4

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Dihedral Groups: D3