Paper Info
Title
Separating invariants
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 non-constructive, 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.
Year
DOI
Venue
2009
10.1016/j.jsc.2008.02.012
J. Symb. Comput.
Keywords
DocType
Volume
invariant ring,Separating invariants,paper study,general version,easy algorithm,conceptual investigation,general finiteness result,finite group
Journal
44
Issue
ISSN
Citations 
9
Journal of Symbolic Computation
1
PageRank 
References 
Authors
0.48
1
1
Name
Order
Citations
PageRank
Gregor Kemper17011.53