1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted



Similar Discussions: Mobius transformation proving equivalence class
  1. Mobius Transformations (Replies: 2)

  2. Mobius Transformation (Replies: 3)

  3. Mobius Transformations (Replies: 2)

Loading...