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## Invariant rings of orthogonal groups over F-2

### Abstract

We determine the rings of invariants SG where S is the symmetric algebra on the dual of a vector space V over F-2 and G is the orthogonal group preserving a non-singular quadratic form on V. The invariant ring is shown to have a\ud presentation in which the difference between the number of generators and the number of relations is equal to the minimum possibility, namely dimV, and it is shown to be\ud a complete intersection. In particular, the rings of invariants computed here are all Gorenstein and hence Cohen-Macaulay

Topics: QA
Publisher: Cambridge University Press
Year: 2005
OAI identifier: oai:eprints.gla.ac.uk:12855
Provided by: Enlighten

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