Resumen de Rational invariants of certain classical similitude groups over finite fields

Nan Jizhu, Chen Yin

• 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 .