Kęstutis Česnavičius, Marc Hindry, Wieslawa Nizioł, Cathy Swaenepoel
Email des responsables :
cathy.swaenepoel@imj-prg.fr
Salle :
Adresse :
Description
http://www.imj-prg.fr/tn/STN/stnj.html
Orateur(s)
C. Smyth - ,
Titre
A variation on the theme of Hilbert's Theorem 90
Date
02/04/2001
Horaire
14:00 à 16:00
Diffusion
Résume
Hilbert's Theorem 90 gives a condition for an algebraic number\beta in a number field k to be a quotient $alpha/\alpha' ofconjugate algebraic numbers, for \alpha in a cyclic extensionL of k.In joint work with A. Dubickas, we find a simple necessary andsufficient condition for \beta\in k to be equal to\alpha/\alpha', where now $\alpha$ is unrestricted.Just as Hilbert's Theorem 90 has an additive version, so ourresult too has an additive analogue.
