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Subjects
12-XX Field theory and polynomials
12Gxx Homological methods (field theory)
12G05 Galois cohomology

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Displaying 1 – 8 of 8

Galois cohomology of biquadratic extensions.

J.-P. Tignol, A.S. Merkurjev (1993)

Commentarii mathematici Helvetici

Galois cohomology of special orthogonal groups.

A. Wadsworth, R. Garibaldi, J. Tignol (1997)

Manuscripta mathematica

Galois cohomology of the classical gorups over fields of cohomological dimension ... 2.

R. Parimala, E. Bayer-Fluckiger (1995)

Inventiones mathematicae

Galois modules and embedding problems.

Jan Brinkhuis (1984)

Journal für die reine und angewandte Mathematik

Galoismoduln mit Hasse-Prinzip.

Uwe Jannsen (1982)

Journal für die reine und angewandte Mathematik

Generalized Kummer theory and its applications

Toru Komatsu (2009)

Annales mathématiques Blaise Pascal

In this report we study the arithmetic of Rikuna’s generic polynomial for the cyclic group of order $n$ and obtain a generalized Kummer theory. It is useful under the condition that $ζ \notin k$ and $ω \in k$ where $ζ$ is a primitive $n$ -th root of unity and $ω = ζ + ζ^{- 1}$ . In particular, this result with $ζ \in k$ implies the classical Kummer theory. We also present a method for calculating not only the conductor but also the Artin symbols of the cyclic extension which is defined by the Rikuna polynomial.

Global restrictions on ramification in number fields.

H. Zantema (1983)

Manuscripta mathematica

Graded Witt Rings of Elementary Type.

Richard Elman, Jón Kr. Arason, Bill Jacob (1985)

Mathematische Annalen

Currently displaying 1 – 8 of 8

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