Thanks for watching In this video we are discussed basic concept external direct product. this video helpful to CSIR NET | GATE | IIT JAM | TIFR students. this also helpful to B.Sc. and M.Sc. students. #ammathstutorials #group_theory #permutationgroupSn #symmetricgroupSn #gbtutorials #csirnet_mathematics #gate_mathematics #iitjam_mathematics #abstractalgebra #abeliangroup #nonisomorphicabeliangroup Follows My Social Network: 1.My web Page (for pdf notes) www.ammathstutorials.in 2. Facebook Page www.facebook.com/ammathstutorials 3.Twitter www.twitter.com/ammathstutorial/ 4.Whatsapp channel www.whatsapp.com/channel/0029Va9nWBXEVccBCvqCk72t 5. Telegram Link: t.me/ammathstutorials abstract algebra for iit jam, modern algebra iit jam , group theory iit jam, group theory for csir net, group theory for gate, external direct product iit jam, direct product iit jam , Direct Product direct product of groups, direct products of groups, direct product of two groups, direct product of cyclic group, what is direct product of group, direct product of cyclic groups, direct product group yheory, direct product of groups example, extrenal direct product of group, direct products group theory, direct products of groups example, external direct product of groups, internal direct product of groups, direct product in group theory, direct product, direct products external direct product of groups, internal direct product of groups, external direct product of cyclic groups, what is external direct product of group, external direct product of groups examples, external direct product group theory, external direct product, direct product of groups external and internal, external direct products of groups definition, extrenal direct product of group, external direct products, direct products of groups external and internal direct product of cyclic groups, every finite abelian group is the direct product of cyclic groups direct product of two groups, direct product group, direct product of groups, direct products of groups, direct product of cyclic groups, direct product of groups example, direct products group theory, external direct product of groups, direct product in group theory, direct product, direct products, external direct product of cyclic groups, trace of direct product, internal direct product group theory, external direct product group theory direct product of two groups, direct product of two solvable group is solvable, direct product of two nilpotent group is nilpotent, prove that the direct product of two groups is a group direct product of cyclic groups, every finite abelian group is the direct product of cyclic groups 1. Basic Introduction a.Euler's Function, b.Relative Prime , c. Number of divisor, d.Congruent, 2.Group , Semi group & Monoid group, 3. Properties of group, 4. Modulo with addition and multiplication, 5. Subgroup & its properties, 6. Abelian Group & cyclic group, 7. Properties of abelian & cyclic group, 8. Cosets & Lagrange Theorem, 9. Normal Subgroup, 10. Quotient Group,, 11. Properties of Quotient Group, 12. Homomorphism, 13. Isomorphism, 14. Properties of Homomorphism and isomorphism, 15. Automorphism, 16. Permutation group, 17. Kernel,