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  1. November 24th 2008, 11:10 AM #1
    mandy123
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    prove

    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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  2. November 24th 2008, 07:15 PM #2
    ThePerfectHacker
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    Quote Originally Posted by mandy123 View Post
    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 f( 1,1).
    Try to arrive to a contradiction.
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