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Harsh posted an Question
January 28, 2021 • 04:40 am 30 points
  • IIT JAM
  • Mathematics (MA)

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

Let Hbe a group satisfyıng that g H Z3 is a homomorphism implies g (h) =0 VhEH Then H can be O Z OZ3

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  • Khushboo shivhare best-answer

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

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    Piyush pachauri Best Answer

    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=19×17 So Option B has gcd 1 with 323.

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