The Möbius Inverse Monoid

1 · John Cook · Nov. 23, 2022, 10:40 p.m.
I’ve written about Möbius transformations many times because they’re simple functions that nevertheless have interesting properties. A Möbius transformation is a function f : ℂ → ℂ of the form f(z) = (az + b)/(cz + d) where ad – bc ≠ 0. One of the basic properties of Möbius transformations is that they form […] The post The Möbius Inverse Monoid first appeared on John D. Cook....