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TitleSeparating invariants
Author(s) Gregor Kemper
TypeArticle in Journal
AbstractThis 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.
KeywordsInvariant theory, Noether’s degree bound, Separating subsets
ISSN0747-7171
URL http://www.sciencedirect.com/science/article/pii/S0747717109000182
LanguageEnglish
JournalJournal of Symbolic Computation
Volume44
Number9
Pages1212 - 1222
Year2009
NoteEffective Methods in Algebraic Geometry
Edition0
Translation No
Refereed No
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