prove

Prove that there is no homomorphism from Z_8 (+) Z_2 onto Z_4 (+) Z_4

[(+) is the external direct product]

(Crying)

Quote:

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Originally Posted by mandy123

Prove that there is no homomorphism from Z_8 (+) Z_2 onto Z_4 (+) Z_4

[(+) is the external direct product]

(Crying)

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Hint: Any homomorphism is determined by .
Try to arrive to a contradiction.