1999 | OriginalPaper | Buchkapitel
Invariant Rings and Fields of Finite Groups
verfasst von : Gregor Kemper, Gunter Malle
Erschienen in: Algorithmic Algebra and Number Theory
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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This article gives an overview over recent developments of algorithms for computing free resolutions based on Grobner basis techniques. These developments realize the following main ideas: 1. Minimization of resolutions are integrated as much as possible into the standard basis algorithm. 2. Hilbert functions are used to avoid reductions of useless pairs. 3. Special orderings and strategies are used to increase the computational efficiency.