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Arindam Chaki posted an Question
December 30, 2021 • 00:39 am
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30 points
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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Anonymous User Best Answer
Q 8 non abelian group
q8 is non abelian but my qus is both property contradict each other
homomorphism exist but not onto homomorphism
bcz homomorphic image cyclic not homomorphism
so different each other
ok sir