I'm currently a student who is very interested in the Mobius transform. However, I tried reading some papers on the topics, and with my current knowledge of maths, I am not able to completely comprehend much of the language of the subject (ie. automorphism). I'm trying to write a research paper on mathematics and Mobius transforms are one of the topics I would like to cover, so any help would be much appreciated.
Here are some of the sources I've looked at: http://www.math.bas.bg/~rkovach/lectures/Moebius.pdf