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Math Help - Rotations in Complex plane

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    Rotations in Complex plane

    The cyclic group  C_{n} is the group of n rotations that maps a regular n-gon onto itself. These rotations correspond to multiplying C by which n complex numbers?
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    Quote Originally Posted by meggnog View Post
    The cyclic group  C_{n} is the group of n rotations that maps a regular n-gon onto itself. These rotations correspond to multiplying C by which n complex numbers?
    If \displaystyle\varsigma  = \exp \left( {\frac{{2\pi i}}{n}} \right) then the complex numbers \varsigma^k,~k=0,1,\cdots n-1 will work.
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