Group Theory | Fundamental Theorem of Group Homomorphism | Abstract Algebra

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This video lecture of Group theory by Roshan Sir will help you to understand the following topics in Mathematics:
Fundamental theorem of group homomorphism
“every homomorphic image G’ of a Group G is isomorphic to some quotient group G”# FundamentalTheoremOfGroupHomomorphism

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

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

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awesome sir thanku so much for your efforts
.i pray your channel grows at a faster rate 🙏

priya-fzpj