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Find all the homomorphisms from Z12 to Z6?

  1. Apr 12, 2005 #1
    How do you find all the homomorphisms from Z12 to Z6? and classify them by their kernals?
     
  2. jcsd
  3. Apr 12, 2005 #2

    matt grime

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    Z12 is, I presume is the cyclic group with twelve elements. It is generated by a single element, 1. Where can 1 be sent to in Z6?
     
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