Galois extensions of height-one commuting dynamical systems

La notion d’extension galoisienne que nous considérons e la plus générale possible, c’e celle introduite par Artin : une extension L/K e dite galoisienne, si le corps des invariants

Zannier, “A uniform relative Dobrowolski’s lower bound over abelian extensions”. Delsinne, “Le probl` eme de Lehmer relatif en dimension sup´

A more classical way to construct a generator for the Galois closure of Q (β) is given by the proof of the Primitive Element Theorem, thus taking a general linear combination of

The Brumer-Stark conjecture deals with abelian extensions of number fields and predicts that a group ring element, called the Brumer-Stickelberger element constructed from

Recall from [1, Theorem 14] that a good basis of G always exists, and from [1, Section 6.1] that a good basis and the parameters for the divisibility are computable.

By these means we shall prove that, for any given abstract structure of G (and of the inertial subgroup of G), the question of whether an ideal / is isomorphic to.?. ^K[G](f)

The purpose of this paper is the generalisation to wildly ramified extensions of Taylor's result [T] on the Galois module structure of the ring of integers in a tamely

Polynomial dynamical systems over Galois elds F p = Z=pZ where p is a prime, were introduced for studying the logical and synchronisation properties of Signal programs (with p = 3)..