Arindam Chaki posted an Question
December 29, 2021 • 19:09 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Ak me dak rahe hain every homomorphic image of a cyclic group is cyclic ki property sa ki f:z4 to q8 maa homomorphism nahi rahe ga or dusre wala property ki

Ak me dak rahe hain every homomorphic image of a cyclic group is cyclic ki property sa ki f:z4 to q8 maa homomorphism nahi rahe ga Or dusre wala property ki f:G to G' agar G cyclic hain or G' finite hain to fir divisor maa homomorphism exist korta hain To fir dono result contradict kar hain naa....Kiu ki z4 cyclic and q8 finite then dusra property se homomorphism exist kore ga... i have a doubt on this plz tell me elaborately..

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    Navdeep goyal 1 Best Answer

    Q 8 non abelian group

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    q8 is non abelian but my qus is both property contradict each other

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    homomorphism exist but not onto homomorphism

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    bcz homomorphic image cyclic not homomorphism

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    so different each other

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    ok sir

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