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Generating a Noetherian normalization of the invariant ring of a finite group. (English) Zbl 0942.13009

In this paper, Kemper’s algorithm for the computation of a noetherian normalization of the invariant ring of a finite group is improved. The presented algorithm also works over arbitrary coefficient fields, but no longer relies on algorithms for primary decomposition.

MSC:

13A50 Actions of groups on commutative rings; invariant theory
20C40 Computational methods (representations of groups) (MSC2010)
68W30 Symbolic computation and algebraic computation

Software:

SINGULAR; INVAR
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