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###### Anonymous posted an Question
January 20, 2021 • 13:18 pm 30 points
• IIT JAM
• Mathematics (MA)

## Let g be a group satisfying the property that f : gto z221 is a homomorphism implies that f (g) = 0 ,  for all gbelong tog, then a possibilities for g are

Let G be a group satisfying the property that f : Gto Z221 is a homomorphism implies that f (g) = 0 ,  for all gbelong toG, then a possibilities for G are (a) Z21 (b) Z91 (c) Z9 (d) Z4

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• ##### Anonymous User

all options are correct because this is a trivial homomorphism and for any two group there exist one trivial homomorphism between them.

• ##### Anonymous User

all options are correct because this is a trivial homomorphism and for any two group there exist one trivial homomorphism between them.

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