Galois realization of central extensions of the symmetric group with kernel a cyclic 2-group
Galois representations, embedding problems and modular forms.
To an odd irreducible 2-dimensional complex linear representation of the absolute Galois group of the field Q of rational numbers, a modular form of weight 1 is associated (modulo Artin's conjecture on the L-series of the representation in the icosahedral case). In addition, linear liftings of 2-dimensional projective Galois representations are related to solutions of certain Galois embedding problems. In this paper we present some recent results on the existence of liftings of projective representations...
Galois representations on profinite braid groups on curves.
Galois theory for general extension fields.
Galois theory of fuchsian q-difference equations
Galois theory of -difference equations
Choose with . The main theme of this paper is the study of linear -difference equations over the field of germs of meromorphic functions at . A systematic treatment of classification and moduli is developed. It turns out that a difference module over induces in a functorial way a vector bundle on the Tate curve that was known for modules with ”integer slopes“, [Saul, 2]). As a corollary one rediscovers Atiyah’s classification of the indecomposable vector bundles on the complex Tate...
Galois theory of special trinomials.
This is the material which I presented at the 60th birthday conference of my good friend José Luis Vicente in Seville in September 2001. It is based on the nine lectures, now called sections, which were given by me at Purdue in Spring 1997. This should provide a good calculational background for the Galois theory of vectorial ( = additive) polynomials and their iterates.
Galoisgruppen über aufgeschlossenen reellen Funktionskörpern.
Galoismoduln mit Hasse-Prinzip.
Galoissche Kennzeichnung p-adisch abgeschlossener Körper.
Galoistheorien für Schiefkörper.
Ganzzahlige Gleichungen ohne Affekt
GAR-Realisierungen klassischer Gruppen.
Généralisation de la théorie de Galois
Généralisation de la théorie de Galois
Generalization of Ehrlich-Kjurkchiev Method for Multiple Roots of Algebraic Equations
In this paper a new method which is a generalization of the Ehrlich-Kjurkchiev method is developed. The method allows to find simultaneously all roots of the algebraic equation in the case when the roots are supposed to be multiple with known multiplicities. The offered generalization does not demand calculation of derivatives of order higher than first simultaneously keeping quaternary rate of convergence which makes this method suitable for application from practical point of view.
Generalizations of some irreducibility results by Schur
Generalizations of the primitive element theorem.
Generalized Archimedean fields and logics with Malitz quantifiers
Generalized Hilbert fields.