Find all the homomorphisms from Z12 to Z6?

  1. How do you find all the homomorphisms from Z12 to Z6? and classify them by their kernals?
     
  2. jcsd
  3. matt grime

    matt grime 9,395
    Science Advisor
    Homework Helper

    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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