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.
This research was supported in part with the assistance of grants from the Australian Research Council.
The first author thanks John Cannon and the Magma group for their hospitality during his stay in Sydney.
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Kemper, G., Steel, A. (1999). Some Algorithms in Invariant Theory of Finite Groups. In: Dräxler, P., Ringel, C.M., Michler, G.O. (eds) Computational Methods for Representations of Groups and Algebras. Progress in Mathematics, vol 173. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8716-8_17
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DOI: https://doi.org/10.1007/978-3-0348-8716-8_17
Publisher Name: Birkhäuser, Basel
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