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Calculating Invariant Rings of Finite Groups over Arbitrary Fields

✍ Scribed by GREGOR KEMPER

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 642 KB
Volume: 21
Category: Article
ISSN: 0747-7171
DOI: 10.1006/jsco.1996.0017

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✦ Synopsis

An algorithm is presented which calculates rings of polynomial invariants of finite linear groups over an arbitrary field K. Up to now, such algorithms have been available only for the case that the characteristic of K does not divide the group order. Some applications to the question whether a modular invariant ring is Cohen-Macaulay or isomorphic to a polynomial ring are discussed.

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