A short proof of Jung’s theorem

Abstract

Presentaremos una prueba corta y elemental del teorema de Jung. Este teorema establece que para un cuerpo K de caracterstica cero los automor smos de K[x; y] son generados por automorsmos lineales y los llamados elementales.

We give a short and elementary proof of Jung’s theorem, which states that for a field K of characteristic zero the automorphisms of K[x, y] are generated by elementary automorphisms and linear automorphisms.