Group Theory | Theorem of Automorphisms of a Group | Automorphisms of a Group | Abstract Algebra |

Hello students,
This video lecture of Group theory by Roshan Sir will help you to understand the following topics in Mathematics:
Group Theory | Theorem on automorphisms of a Group | Abstract Algebra
1- The set of al automorphisms of a group form a group w.r.t. composite of the functions as the composition.

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-----------Content of the Video--------------
00:00 – Intro
01:09 – Theorem of automorphisms
I, Roshan Kumar Jaiswal, welcome you on your YouTube channel eMaths Guru.

This concept is very important to crack TGT/PGT/CSIR NET & equally important in getting good marks in university examinations like B.Sc/M.Sc/B.Tech.
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1- Definition of Groups, Algebraic structure, Grupoid, Monoid

2- abelian groups with solved examples

3-Addition Modulo and Multiplication Modulo

4-Properties of a Group

5- Order of a group and some important theorems

6- Subgroups and some important theorems

7- Cyclic group with examples

8-Cyclic groups theorems

9-Cosets definition and examples

10- Cosets | some important theorems| Lagrange’s theorem

11- Normal subgroups definition with solved examples

12- Normal Subgroups Some Important theorems

13- Quotient Groups with solved examples

14-Homomorphism definition and examples

15- Kernel of homomorphism

16- Isomorphism definition with examples

17- Fundamental theorem of Group homomorphism ( First theorem of Isomorphism )

18- permutation group or symmetric group

19- circular permutation

20- Second theorem of Isomorphism

21- Third theorem of Isomorphism

22- Automorphisms of a group

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Thank you
Roshan Kumar Jaiswal
Assistant Teacher
Govt. Basic Education U.P.

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