Chudamani Satnami Asked a Question
November 9, 2021 9:43 pmpts 30 pts
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
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  • Navdeep goyal 1 thankyou
    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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    Navdeep goyal 1
    what's ur dabut
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