A generalization of a theorem of Minkowski
A geometric description of the class invariant homomorphism
A note on normal and power bases
A note on normal bases of ideals
A projective invariant comparing rings of integers in wildly ramified extensions.
A stably free and non-free ring of integers. (Un anneau d'entiers stablement libre et non libre.)
A Tate sequence for global units
Abelian L-functions at s=1 and, explicit reciprocity for Rubin-Stark elements
Abelian varieties and Galois module structure in global function fields.
Additive Galois module structure and Chinburg's invariant.
Amélioration d'une congruence pour certains éléments de Stickelberger quadratiques
An extension of Iwasawa's theorem on finitely generated modules over power series rings.
An infinite family of totally real number fields
Angular distribution of units in abelian group rings - an application to Galois-module theory.
Anneaux d’entiers stablement libres sur
Le groupe est le plus petit groupe pour lequel existent des modules stablement libres non libres. On montre que toutes les classes d’isomorphisme de tels modules peuvent être représentées une infinité de fois par des anneaux d’entiers. On applique un travail de classification de Swan, pour cela on doit construire explicitement des bases normales d’entiers d’extensions à groupe ; cela se fait en liant un critère de Martinet avec une construction de Witt.
Approximatting rings of integers in number fields
In this paper we study the algorithmic problem of finding the ring of integers of a given algebraic number field. In practice, this problem is often considered to be well-solved, but theoretical results indicate that it is intractable for number fields that are defined by equations with very large coefficients. Such fields occur in the number field sieve algorithm for factoring integers. Applying a variant of a standard algorithm for finding rings of integers, one finds a subring of the number field...
Associated orders of certain extensions arising from Lubin-Tate formal groups
Let be a finite extension of , let , respectively , be the division fields of level , respectively , arising from a Lubin-Tate formal group over , and let Gal(). It is known that the valuation ring cannot be free over its associated order in unless . We determine explicitly under the hypothesis that the absolute ramification index of is sufficiently large.