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Math Help - homomorphism

  1. #1
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    homomorphism

    Find all homomorphisms between Z_2 x Z_2 ->S_3. S_3 isthe symmetric group on 3 symbols.
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  2. #2
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    Quote Originally Posted by Chandru1 View Post
    Find all homomorphisms between Z_2 x Z_2 ->S_3. S_3 isthe symmetric group on 3 symbols.

    Every such homom. is uniquely and completely determined by the images of the generators of \mathbb{Z}_2\times\mathbb{Z}_2 ...and where to can an order 2 generator be mapped in S_3 ?

    Tonio
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