Iterated Monodromy Group of a PCF Quadratic Non-polynomial Map

Ozlem Ejder, Yasemin Kara, Ekin Ozman

We study the postcritically finite non-polynomial map $f(x)=\frac{1}{(x-1{)}^2}$ over a number field $k$ and prove various results about the geometric $G^{\text{geom}}(f)$ and arithm…