IUMJ

Title: Rational invariants of certain classical similitude groups over finite fields

Authors: Nan Jizhu and Chen Yin

Issue: Volume 57 (2008), Issue 4, 1947-1958

Abstract:

Let $F_q$ be a finite field with $\Char F_q\neq2$ and $F_q(X_1,\dots,X_n)$ 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 $F_q(X_1,\dots,X_n)$ over $F_q$.