Displaying similar documents to “Projective simplicity of groups of rational points of simply connected algebraic groups defined over number fields”

Stably rational algebraic tori

Valentin E. Voskresenskii (1999)

Journal de théorie des nombres de Bordeaux

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The rationality of a stably rational torus with a cyclic splitting field is proved.

Rational approximations to algebraic Laurent series with coefficients in a finite field

Alina Firicel (2013)

Acta Arithmetica

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We give a general upper bound for the irrationality exponent of algebraic Laurent series with coefficients in a finite field. Our proof is based on a method introduced in a different framework by Adamczewski and Cassaigne. It makes use of automata theory and, in our context, of a classical theorem due to Christol. We then introduce a new approach which allows us to strongly improve this general bound in many cases. As an illustration, we give a few examples of algebraic Laurent series...