A Matrix Approach to the Rational Invariants of Certain Classical Groups over Finite Fields of Characteristic Two

Details A Matrix Approach to the Rational Invariants of Certain Classical Groups over Finite Fields of Characteristic Two A Matrix Approach to the Rational Invariants of Certain Classical Groups over Finite Fields of Characteristic Two

2004-11-20

arxiv.org/abs/math/0411451v1

Mathematics

Commutative Algebra

20 pages

Scientific paper

Let ${\mathbb F}_q$ be a finite field of characteristic two and ${\mathbb
F}_q(X_1,...,X_n)$ a rational function field. We use matrix methods to obtain
explicit transcendental bases of the invariant subfields of orthogonal groups
and pseudo-symplectic groups on ${\mathbb F}_q(X_1,...,X_n)$ over ${\mathbb
F}_q$.

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