Prove that there is no homomorphism from Z_8 (+) Z_2 onto Z_4 (+) Z_4 [(+) is the external direct product]
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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] Hint: Any homomorphism is determined by $\displaystyle f( 1,1)$. Try to arrive to a contradiction.
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