Details:
Title  The computation of invariant fields and a constructive version of a theorem by Rosenlicht.  Author(s)  Gregor Kemper  Type  Article in Journal  Abstract  Let G be an algebraic group acting on an irreducible variety X. We present an algorithm for computing the invariant field k(X)G. Moreover, we give a constructive version of a theorem of Rosenlicht, which says that almost all orbits can be separated by rational invariants. More precisely, we give an algorithm for computing a nonempty open subset of X with a geometric quotient.  ISSN  10834362; 1531586X/e 
URL 
http://link.springer.com/article/10.1007%2Fs0003100700565 
Language  English  Journal  Transform. Groups  Volume  12  Number  4  Pages  657670  Publisher  Springer (Birkh\"auser), Boston, MA  Year  2007  Edition  0  Translation 
No  Refereed 
No 
