INVARIANT FIELDS OF SYMPLECTIC AND ORTHOGONAL GROUPSDavid
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A matrix approach to the rational invariants of certain classical groups over finite fields of characteristic two
Let Fq be a finite field of characteristic two and Fq(X1, . . . , Xn) 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 Fq(X1, . . . , Xn) over Fq.
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