Sur les transformations polynômiales et rationnelles
Symplectic K2 of Laurent polynomials, associated Kac-Moody groups and Witt rings.
The factorization of with monic and of degree .
In this paper we investigate the factorization of the polynomials in the special case where is a monic quadratic polynomial with negative discriminant. We also mention similar results in the case that is monic and linear.
The factorization of over a finite field where is of first degree and L(x) is linear
The Galois group of generic symmetric matrices
The Galois relation x₁ = x₂ + x₃ for finite simple groups
The Galois relation x₁ = x₂+x₃ and Fermat over finite fields
The least admissible value of the parameter in Hilbert's Irreducibility Theorem
The level of cyclic division algebras.
The radical factors of over finite fields.
The regular inverse Galois problem over non-large fields
By a celebrated theorem of Harbater and Pop, the regular inverse Galois problem is solvable over any field containing a large field. Using this and the Mordell conjecture for function fields, we construct the first example of a field over which the regular inverse Galois problem can be shown to be solvable, but such that does not contain a large field. The paper is complemented by model-theoretic observations on the diophantine nature of the regular inverse Galois problem.
The resultant of non-commutative polynomials
The strong primitive normal basis theorem
The tensor product of polynomials.
Théorème d'irréductibilité de Hilbert effectif
Theorie der goniometrischen und der longimetrischen Quaternionen [Book]
Trigonometric identities.
Tschebyscheffpolynome in mehreren Variablen.
Two Exercises Concerning the Degree of the Product of Algebraic Numbers
Über die Existenz maximaler algebraischer Körperweiterungen.