Lec - 67 Counting Group Homomorphism Manually | IIT JAM | CSIR UGC NET | GATE MA | B Sc

[@chunmunchunmun2390]

sir at 3:14 you mean every homomorphic image of cyclic group is cyclic ,apna iss theorem ka use kia ha ?? please btaia ga sir.

[@MathematicalScience]

1 generate all element of z12 therefore

[@duresameensameen2633]

Sir why u only took 1 generators of z12 are 1,5,7,11 can we take another??

[@MathematicalScience]

@@duresameensameen2633 I just took 1 as it is simplest, you can take other too

[@Mathsinto..]

Love the way you explained

[@babool2050]

Sir plz upload Abstract algebra Normal series,composition series, stabilizer, orbit, Solvable group,Nilpotent group,sylow theorem proof videos kindly inform you sir

[@N99733]

Nice explanation 👍

[@tomandjerry7524]

Good explanation 🙏🙏

[@rajkishoresingha6811]

Sir, I use this result if number of group homomorphisms from Z12 to Z30 is gcd(12,30)=6 but what about from Z30 to Z12?

[@MathematicalScience]

Same formula

[@archanakumarimeena3058]

Sir 7:20 par f(1)=0 kese ho rah h?

[@MathematicalScience]

Just using property order of image divide preimage

[@sandeepjaiswal7505]

Respected sir aapney, only Ko hii kyu generator choose kiay, z_12 kay other generator bhi tooh hai, if other generator choose then what will be effect for finding number of homo please tell 🙏🙏

[@MathematicalScience]

its taken just for simplicity, if you take other generator then the solution will be same

[@sandeepjaiswal7505]

Bhaiya please ek vedio Automorphism find karney wala please banaeay aur Yeh clear kar dijiay 🙏

[@Satyamstrange]

maja aa gaya

[@Mathshubham]

Nice concept sir

[@MathematicalScience]

Thank you vijay

[@vishaltanwar9032]

Thanks sir ji

[@mathematicsbyvivekanand2375]

Thanks a lot sir ji

[@khushboosinghal1517]

Sir homomorphism from Z30 to Z12 or from Z12 to Z30 same meaning

[@MathematicalScience]

NO

[@archanakumarimeena3058]

Nice 👍

[@kothakalvamurali7577]

Hi

[@babool2050]

Plz sir my request accept