Infinite Galois parallelograms
type: Item
instance of: scholarly article
title: Infinite Galois parallelograms
zbMATH Open document ID: 1006.12002
author: Emmanuel Andréo
author: Richard Massy
published in: Annales Mathématiques Blaise Pascal
publication date: 2002-12-09T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/79234
review text: In [J. Algebra 217, 229-248 (1999; Zbl 0973.12002)] the second author and \textit{S. Monier-Derviaux} introduced the notion of a (finite) Galois parallelogram and proved the usual properties of classical Galois theory. We may consider the theory of Galois parallelograms as two-dimensional finite Galois theory. In the paper under review the authors generalize the theory of finite Galois parallelograms to infinite Galois extensions equipped with the Krull topology. The main result (Theorem 6.2) is the generalization of the main result of Galois theory to infinite Galois parallelograms.
Mathematics Subject Classification ID: 12F10
Mathematics Subject Classification ID: 11R32
zbMATH DE Number: 1805810
zbMATH Keywords: Galois parallelograms
zbMATH Keywords: two-dimensional Galois theory
zbMATH Keywords: Krull topology
zbMATH Keywords: profinite groups
reviewed by: Gabriel D. Villa Salvador
MaRDI profile type: Publication
OpenAlex ID: W2028713245
cites work: Q3216754
cites work: Q5663077
cites work: Q3963102
cites work: Q3994813
cites work: Q5287502
cites work: Galois parallelograms
cites work: Descent and Galois parallelograms
DOI: 10.5802/AMBP.139
description: scientific article; zbMATH DE number 1805810