At the end of the video, you will able to answer
Z/nZ is isomorphic to Zn
G/Z(G) is isomorphic to Inn(G) (In 2nd at 8:30 in video, take phi(a) in the ker phi)
|G|=p^n then Z(G) cannot be trivial
|G|=p^3 and nonAbelian the |Z(G)|=p
|G|=p^2 then G is Abelian

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THESE PLAYLIST FOR COMPETITIVE EXAMS ENCLUSING UG\PG LEVEL

Advanced ABSTRACT ALGEBRA Group Theory
   • Lec  01 Basics for Abstract Algebra ...  

Advanced ABSTRACT ALGEBRA Sylow Package
   • Lec  01 Cayley's Theorem | IIT JAM |...  


Advanced ABSTRACT ALGEBRA Ring Theory & Field Theory
   • L00 Syllabus of Ring Theory || Field ...  

Advanced LINEAR ALGEBRA Matrices
   • Lec  00 Syllabus || Contents of Line...  


THESE PLAYLIST FOR UG LEVEL

Algebra
   • Lec 0: Syllabus of Algebra | B Sc Hon...  

Differential Equations
   • Cauchy Euler Equation | Euler Equatio...  

Ring Theory (Ring Theory & Linear Algebra 1)
   • L 0 Syllabus | Ring Theory and Linear...  

Linear Algebra (Ring Theory & Linear Algebra 1)
   • L01 | Vector Space | Linear Algebra |...  

Group Theory 2
   • L0 | Group Theory 2 | Syllabus of Gro...  



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