Rational invariants of certain classical similitude groups over finite fields
Nan JizhuChen Yin
12F2020G40rational invariantrational function fieldorthogonal similitude groupunitary similitude group
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 $F_q$.
Indiana University Mathematics Journal
2008
text
pdf
10.1512/iumj.2008.57.3330
10.1512/iumj.2008.57.3330
en
Indiana Univ. Math. J. 57 (2008) 1947 - 1958
state-of-the-art mathematics
http://iumj.org/access/