Mobius transformation proving equivalence class

1. Apr 24, 2012

d2j2003

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$^{-1}$
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$^{-1}$ right? so if we just say m=p°p°m°p$^{-1}$ °p$^{-1}$ then this is of the correct form... if we say (p°p)=q then m=q°m°q$^{-1}$ which is of the correct form so mRm am I moving in the right direction???