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Indexed by:期刊论文

Date of Publication:2008-01-01

Journal:INDIANA UNIVERSITY MATHEMATICS JOURNAL

Included Journals:SCIE、Scopus

Volume:57

Issue:4

Page Number:1947-1957

ISSN No.:0022-2518

Key Words:rational invariant; rational function field; orthogonal similitude group; unitary similitude group.

Abstract:Let F-q be a finite field with char F-q not equal 2 and F-q(X-1,...,X-n) be a rational function field. In the present paper, we construct explicit transcendental bases of the invariant subfields of orthogonal similitude and unitary similitude groups on F-q (X-1,..., X-n) over F-q.