Chudamani posted an Question
November 10, 2021 • 03:13 am 30 points
  • IIT JAM
  • Mathematics (MA)

Let g be a group satisfying the property that 6 f:g is a homomorphism implies f(g) = 0, vg e g. then a possible group g is la (a) za (b) (c) (d) , 2 marks

Let G be a group satisfying the property that 6 f:G is a homomorphism implies f(g) = 0, Vg e G. Then a possible group G is La (a) Za (b) (c) (d) , 2 Marks

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  • Chudamani Satnami

    there is only one homomorphism from G to Z221.Therefore,gcd(|G|,221)=1.Hence G=Z21,Z51,Z91,Z119 all are correct

  • Anonymous User best-answer

    All options are correct because f(g)=0 is a trivial homomorphism and for any two group there exist one trivial homomorphism between them.

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    what's ur dabut

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    f(g)=0 is trivial homomorphism from a group G to G'

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