Details:
Title  Separating invariants  Author(s)  Gregor Kemper  Type  Article in Journal  Abstract  This paper studies separating subsets of an invariant ring or, more generally, of any set consisting of functions. We prove that a subset of a finitely generated algebra always contains a finite separating subset. We also show that a general version of Noether’s degree bound holds for separating invariants, independently of the characteristic. While the general finiteness result is nonconstructive, the Noether bound provides an easy algorithm for computing separating invariants of finite groups. The paper also contains a conceptual investigation of the difference between separating and generating subsets.  Keywords  Invariant theory, Noether’s degree bound, Separating subsets  ISSN  07477171 
URL 
http://www.sciencedirect.com/science/article/pii/S0747717109000182 
Language  English  Journal  Journal of Symbolic Computation  Volume  44  Number  9  Pages  1212  1222  Year  2009  Note  Effective Methods in Algebraic Geometry  Edition  0  Translation 
No  Refereed 
No 
