Dérivées et différences divisées à valeurs entières
Die Einseinheitengruppe von p-Erweiterungen regulärer ...-adischer Zahlkörper als Galoismodul.
Die p-Vervollständigung der multiplikativen Gruppe einer p-Erweiterung eines irregulären p-adischen Zahlkörpers.
Die Struktur der absoluten Galoisgruppe p-adischer Körper.
Double transitivity of Galois groups of trinomials
Ein Analogon zur Fundamentalgruppe einer Riemann'schen Fläche im Zahlköperfall.
Extensions de Lie et groupes d'automorphismes de corps locaux
Extensions galoisiennes d'un corps local à groupes d'inertie cycliques.
Extensions infinies identiquement ramifiées.
Extensions non abéliennes de degré d’un corps de nombres : étude locale-globale
Extensions of finite group schemes, and Hopf Galois theory over a complete discrete valuation ring.
Factorisability and the arithmetic of wildly ramified Galois extensions
Filtration de et ramification sauvage
Fonction génératrice et congruences (application aux nombres de Bernoulli)
Galois extensions of height-one commuting dynamical systems
We consider a dynamical system consisting of a pair of commuting power series under composition, one noninvertible and another nontorsion invertible, of height one with coefficients in the -adic integers. Assuming that each point of the dynamical system generates a Galois extension over the base field, we show that these extensions are in fact abelian, and, using results from the theory of the field of norms, we also show that the dynamical system must include a torsion series. From an earlier...
Galois generators and the subspace theorem.
Galois module structure of abelian extensions.
Galois module structure of ideals in wildly ramified cyclic extensions of degree
Galois module structure of ideals in wildly ramified cyclic extensions of degree
For , any totally ramified cyclic extension of degree of local fields which are finite extensions of the field of -adic numbers, we describe the -module structure of each fractional ideal of explicitly in terms of the indecomposable -modules classified by Heller and Reiner. The exponents are determined only by the invariants of ramification.
Galois representations of dihedral type over ℚₚ