(adsbygoogle = window.adsbygoogle || []).push({}); 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

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# Homework Help: Mobius transformation proving equivalence class

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