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TitleThe computation of invariant fields and a constructive version of a theorem by Rosenlicht.
Author(s) Gregor Kemper
TypeArticle in Journal
AbstractLet 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.
ISSN1083-4362; 1531-586X/e
URL http://link.springer.com/article/10.1007%2Fs00031-007-0056-5
LanguageEnglish
JournalTransform. Groups
Volume12
Number4
Pages657--670
PublisherSpringer (Birkh\"auser), Boston, MA
Year2007
Edition0
Translation No
Refereed No
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