Tame and wild automorphisms of differential polynomial algebras of rank 2

Bibinur Duisengalieva, Altyngul Naurazbekova, Ualbai Umirbaev

It is proved that the tame automorphism group of a differential polynomial algebra $k\{x,y\}$ over a field $k$ of characteristic $0$ in two variables $x,y$ with $m$ commuting deriv…