Title:  Locally Nilpotent Derivations on Polynomial Rings in Two Variables over a Field of Characteristic Zero. 
Authors:  Nyobe Likeng, Samuel Aristide 
Date:  2017 
Abstract:  The main goal of this thesis is to present the theory of Locally Nilpotent Derivations
and to show how it can be used to investigate the structure of the polynomial ring
in two variables k[X;Y] over a field k of characteristic zero. The thesis gives a com
plete proof of Rentschler's Theorem, which describes all locally nilpotent derivations
of k[X;Y]. Then we present Rentschler's proof of Jung's Theorem, which partially
describes the group of automorphisms of k[X;Y]. Finally, we present the proof of the
Structure Theorem for the group of automorphisms of k[X;Y]. 
URL:  http://hdl.handle.net/10393/35906 http://dx.doi.org/10.20381/ruor20189 
Collection  Thèses, 2011  // Theses, 2011 
