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The Ring of Invariants of O(3, Fq)

✍ Scribed by Larry Smith

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
98 KB
Volume
5
Category
Article
ISSN
1071-5797

No coin nor oath required. For personal study only.

✦ Synopsis

Let p3-be an odd prime integer and % O be the Galois field with q"pJ elements.

which is a nondegenerate quadratic form, and denote by O(3, % O ) the corresponding orthogonal group. The purpose of this note is to give a new proof of a theorem of S. D. Cohen on the structure of % O [x, y, z]-% O . The novelty of our proof lies in the description of the generators in terms of the geometry of ovals in % O /(2) and Steenrod operations.

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