Rational invariants of certain classical similitude groups over finite fields

• Autores: Nan Jizhu, Chen Yin
• Localización: Indiana university mathematics journal, ISSN 0022-2518, Vol. 57, Nº 4, 2008, págs. 1947-1958
• Idioma: inglés
• DOI: 10.1512/iumj.2008.57.3330
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• Resumen

  • 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 .