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Math Help - isomorphism

  1. #1
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    isomorphism

    :Let n >0 be an integer, R be the additive group of real numbers and U be the
    multiplicative group of complex numbers of modulo1. Show that the group R/nZ
    and U are isomorphic.
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  2. #2
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    Quote Originally Posted by makenqau View Post
    :Let n >0 be an integer, R be the additive group of real numbers and U be the
    multiplicative group of complex numbers of modulo1. Show that the group R/nZ
    and U are isomorphic.
    Fix n>0 now define \theta \mapsto e^{2\pi i\theta  /n}. Apply fundamental homomorphism theorem.
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