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Finding Fixed Points of a Mobius transformation

  1. Apr 22, 2012 #1
    1. The problem statement, all variables and given/known data

    Find all the fixed points to the following Mobius transformation.

    2. Relevant equations

    m(z) = (2z + 5)/(3z - 1)

    3. The attempt at a solution

    Aren't all fixed points going to map to themselves? So shouldn't it be solving for m(z) = z and coming up with roots of a quadratic equation?
  2. jcsd
  3. Apr 22, 2012 #2


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    Science Advisor

    Well, I don't know what "it" should be doing but that is what I recommend you do.
  4. Apr 22, 2012 #3
    I meant I* lol. Thanks.
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