Galois cohomology and Galois representations.
Galois covers of over with prescribed local or global behavior by specialization
This paper considers some refined versions of the Inverse Galois Problem. We study the local or global behavior of rational specializations of some finite Galois covers of .
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 ...-factors modulo roots of unity.
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 Module Structure of Rings of Intergers.
Galois representations
Galois representations of dihedral type over ℚₚ
Galois structure of ideals in wildly ramified abelian -extensions of a -adic field, and some applications
Let be a finite extension of with ramification index , and let be a finite abelian -extension with Galois group and ramification index . We give a criterion in terms of the ramification numbers for a fractional ideal of the valuation ring of not to be free over its associated order . In particular, if then the inverse different can be free over its associated order only when (mod ) for all . We give three consequences of this. Firstly, if is a Hopf order and is -Galois...
Galoismoduln mit Hasse-Prinzip.
Galoissche Kennzeichnung p-adisch abgeschlossener Körper.
Gaussian sums over finite fields and gamma functions. (Gaussche Summen über endlichen Körpern und Gammafunktion.)
Generalization of a result of Shankar Sen: Integral representations associated with local field extensions
Generalized Artin-Hasse and Iwasawa formulas for the Hilbert symbol in a higher local field. II.
Generalized -Euler numbers and polynomials of higher order and some theoretic identities.
Genre et genre résiduel des corps de fonctions valués
Géométrie des nombres -adiques