I have an exercise where the set of möbius mappings is defined like this(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

\textrm{Mob} = \{ f_A:\mathbb{C}\to\mathbb{C}\;|\; f_A(z)=\frac{az+b}{cz+d},\; A=\left[\begin{array}{cc}a & b \\ c & d \\ \end{array}\right]\in \textrm{SL}(2,\mathbb{C})\}

[/tex]

Is it probable, that there is a mistake and the the special linear group should be replaced with [itex]\textrm{GL}(2,\mathbb{C})[/itex]?

The exercise uses wording "let us consider the set of möbius mappings", and I started thinking, that could that "set" be "subset". Is "Mob" common name for the full set of Möbius mappings?

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Möbius mappings

**Physics Forums | Science Articles, Homework Help, Discussion**