Galois theory and double central extensions.

Gran, Marino; Rossi, Valentina

Displaying similar documents to “Galois theory and double central extensions.”

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

Kadison, Lars (2005)

AMA. Algebra Montpellier Announcements [electronic only]

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A classification of the extensions of degree $p^{2}$ over $ℚ_{p}$ whose normal closure is a $p$ -extension

Luca Caputo (2007)

Journal de Théorie des Nombres de Bordeaux

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Let $k$ be a finite extension of $ℚ_{p}$ and $ℰ_{k}$ be the set of the extensions of degree $p^{2}$ over $k$ whose normal closure is a $p$ -extension. For a fixed discriminant, we show how many extensions there are in $ℰ_{ℚ_{p}}$ with such discriminant, and we give the discriminant and the Galois group (together with its filtration of the ramification groups) of their normal closure. We show how this method can be generalized to get a classification of the extensions in $ℰ_{k}$ .

Class 2 Galois representations of Kummer type.

Opolka, Hans (2004)

Homology, Homotopy and Applications

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Module structure of integers in metacyclic extensions

James Carter (1998)

Colloquium Mathematicae

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Weak corestriction principle for non-Abelian Galois cohomology.

Nguyêñ Quôć Thǎńg (2003)

Homology, Homotopy and Applications

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Hopf-Galois module structure of tame biquadratic extensions

Paul J. Truman (2012)

Journal de Théorie des Nombres de Bordeaux

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In [] we studied the nonclassical Hopf-Galois module structure of rings of algebraic integers in some tamely ramified extensions of local and global fields, and proved a partial generalisation of Noether’s theorem to this setting. In this paper we consider tame Galois extensions of number fields $L / K$ with group $G ≅ C_{2} \times C_{2}$ and study in detail the local and global structure of the ring of integers $𝔒_{L}$ as a module over its associated order $𝔄_{H}$ in each of the Hopf algebras $H$ giving a nonclassical Hopf-Galois...

On the homology of small categories and asynchronous transition systems.

Husainov, Ahmet A. (2004)

Homology, Homotopy and Applications

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