Some Algorithms in Invariant Theory of Finite Groups
Conference paper
Abstract
We present algorithms which calculate the invariant ring K[V] G of a finite group G. Our focus of interest lies on the modular case, i.e., the case where |G| is divided by the characteristic of K. We give easy algorithms to compute several interesting properties of the invariant ring, such as the Cohen-Macaulay property, depth, the β-number and syzygies.
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