Let hbe a group satisfyıng that g h z3 is a homomorphism implies g (h) =0 vheh then h can be o z oz3

Option B is correct use g.c.d(m,n)=1 means only identity homomorphism possible Also g.c.d(33,323)=1

Any doubt then you can ask

Option B is correct.

No of homomorphism from Zm to Zn are given by gcd(m,n). IN This question ,it is asked only identity homomorphism is possible with what group? So gcd of 323 should be 1 with H. 323=...