EuDML | Browse

The Steinitz class of a number field extension $K / k$ is an ideal class in the ring of integers $𝒪_{k}$ of $k$ , which, together with the degree $[K : k]$ of the extension determines the $𝒪_{k}$ -module structure of $𝒪_{K}$ . We denote by $R_{t} (k, G)$ the set of classes which are Steinitz classes of a tamely ramified $G$ -extension of $k$ . We will say that those classes are realizable for the group $G$ ; it is conjectured that the set of realizable classes is always a group.In this paper we will develop some of the ideas contained in [7] to obtain some...

Steinitz classes of tamely ramified nonabelian extensions of odd prime power order

Alessandro Cobbe (2011)

Acta Arithmetica

Structure galoisienne relative des anneaux d' entiers

B. SODAIGUI (1986/1987)

Seminaire de Théorie des Nombres de Bordeaux

Structure of group invariants of a quasiperiodic flow.

Bakker, Lennard F. (2004)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Sums of roots of unity.

Timo Ojala (1975)

Mathematica Scandinavica

Sur des hauteurs alternatives. I.

P. Philippon (1991)

Mathematische Annalen

Sur l’anneau des entiers des extensions galoisiennes non abéliennes de degré $p q$ des rationnels

Jean Cougnard (1974)

Mémoires de la Société Mathématique de France

Sur le groupe des unités de corps de nombres de degré $2$ et $4$

M’hammed Ziane (2007)

Journal de Théorie des Nombres de Bordeaux

Nous déterminons sous certaines hypothèses, un système fondamental d’unités du corps non pur $K = ℚ (ω)$ et de son sous-corps quadratique, où $ω$ est solution du polynôme $f (X) = X^{4} + d^{- 2} M_{6} X^{2} - M_{4},$ avec $M_{6} = D^{6} + 6 D^{4} d + 9 D^{2} d^{2} + 2 d^{3}$ , $M_{4} = D^{4} + 4 D^{2} d + 2 d^{2}$ , $d | D$ , $d$ , $D \in ℕ$ , non nuls.

Sur le théorème des idéaux premiers

C. Touibi, H. Smida Zargouni (1989)

Colloquium Mathematicae

Sur les polynômes à coefficients entiérs et de discriminant donné

Kalman Győry (1973)

Acta Arithmetica

Sur les unités complexes

J. Molk (1883)

Bulletin des Sciences Mathématiques et Astronomiques

Sur un théorème de M. Langevin

Maurice Mignotte (1989)

Acta Arithmetica

The Congruences of Clausen- von Staudt and Kummer for Bernoulli-Hurwitz Numbers.

Nicholas M. Katz (1975)

Mathematische Annalen

The cubics which are differences of two conjugates of an algebraic integer

Toufik Zaimi (2005)

Journal de Théorie des Nombres de Bordeaux

We show that a cubic algebraic integer over a number field $K,$ with zero trace is a difference of two conjugates over $K$ of an algebraic integer. We also prove that if $N$ is a normal cubic extension of the field of rational numbers, then every integer of $N$ with zero trace is a difference of two conjugates of an integer of $N$ if and only if the $3 -$ adic valuation of the discriminant of $N$ is not $4 .$

The distance between terms of an algebraic recurrence sequence.

R. Tijdeman, M. Mignotte, T.N. Shorey (1984)

Journal für die reine und angewandte Mathematik

The Euclidean algorithm for Galois extensions of Q.

David A. Clark, M. Ram Murty (1995)

Journal für die reine und angewandte Mathematik

Currently displaying 221 – 240 of 288

Previous Page 12 Next