Class 2 Galois representations of Kummer type.

Opolka, Hans

Displaying similar documents to “Class 2 Galois representations of Kummer type.”

On nilpotent Galois groups and the scope of the norm limitation theorem in one-dimensional abstract local class field theory.

Chipchakov, Ivan D. (2005)

Acta Universitatis Apulensis. Mathematics - Informatics

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Hopf Galois structures on Kummer extensions of prime power degree.

Childs, Lindsay N. (2011)

The New York Journal of Mathematics [electronic only]

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Automatic realizations of Galois groups with cyclic quotient of order $p^{n}$

Ján Mináč, Andrew Schultz, John Swallow (2008)

Journal de Théorie des Nombres de Bordeaux

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We establish automatic realizations of Galois groups among groups $M ⋊ G$ , where $G$ is a cyclic group of order $p^{n}$ for a prime $p$ and $M$ is a quotient of the group ring $𝔽_{p} [G]$ .

PAC fields over number fields

Moshe Jarden (2006)

Journal de Théorie des Nombres de Bordeaux

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We prove that if $K$ is a number field and $N$ is a Galois extension of $ℚ$ which is not algebraically closed, then $N$ is not PAC over $K$ .

On finite linear groups stable under Galois operation.

Khrebtova, Ekaterina, Malinin, Dmitry (2009)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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Module structure of integers in metacyclic extensions

James Carter (1998)

Colloquium Mathematicae

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Galois Covers and the Hilbert-Grunwald Property

Pierre Dèbes, Nour Ghazi (2012)

Annales de l’institut Fourier

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Our main result combines three topics: it contains a Grunwald-Wang type conclusion, a version of Hilbert’s irreducibility theorem and a $p$ -adic form à la Harbater, but with good reduction, of the Regular Inverse Galois Problem. As a consequence we obtain a statement that questions the RIGP over $ℚ$ . The general strategy is to study and exploit the good reduction of certain twisted models of the covers and of the associated moduli spaces.

An action-free characterization of weak Hopf-Galois extensions.

Kadison, Lars (2005)

AMA. Algebra Montpellier Announcements [electronic only]

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