The invariants of orthogonal group actions

li Chiang, yu Ching Hung

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Let Fq be the finite field of order q, an odd number, Q a non-degenerate quadratic form on [formula omitted]O(n, Q) the orthogonal group defined by Q. Regard O(n, Q) as a linear group of Fq -automorphisms acting linearly on the rational function field Fq(x1, …, xn). We shall prove that the invariant subfield Fq(x1,…, xn)O(n, Q) is a purely transcendental extension over Fq for n = 5 by giving a set of generators for it.

Original languageEnglish
Pages (from-to)313-319
Number of pages7
JournalBulletin of the Australian Mathematical Society
Volume48
Issue number2
DOIs
Publication statusPublished - 1993 Jan 1

ASJC Scopus subject areas

  • Mathematics(all)

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