Rational invariants of certain classical similitude groups over finite fields
Jizhu Nan, Yin Chen · Indiana University Mathematics Journal · 2008
Let Fq be a finite field with charFq?2 and Fq(X1,...,Xn) 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 Fq(X1,...,Xn) over Fq .