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Mobius transformation proving equivalence class

  1. Apr 24, 2012 #1
    1. The problem statement, all variables and given/known data
    I have to show that if there is a mobius transformation p such that m=p°n°p[itex]^{-1}[/itex]
    forms an equivalence class.

    2. Relevant equations
    need to show that aRa, if aRb then bRa, and if aRb and bRc then aRc


    3. The attempt at a solution

    well.. for aRa I somehow need to show that m=p°m°p[itex]^{-1}[/itex] right? so if we just say m=p°p°m°p[itex]^{-1}[/itex] °p[itex]^{-1}[/itex] then this is of the correct form... if we say (p°p)=q then m=q°m°q[itex]^{-1}[/itex] which is of the correct form so mRm am I moving in the right direction???

    Thanks in advance
     
  2. jcsd
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