The bottom theorem
type: Item
instance of: scholarly article
title: The bottom theorem
zbMATH Open document ID: 0565.12011
DOI: 10.1007/BF01275574
author: Dan Haran
published in: Archiv der Mathematik
publication date: 1985-01-01T00:00:00Z
review text: Let K be a Hilbertian field and G(K) its absolute Galois group. Let e be a positive integer. Then for almost all e-tuples \(\sigma \in G(K)^ e\) the fixed field of \(\sigma\) is an infinite extension of any proper subfield containing K.
Mathematics Subject Classification ID: 12F10
Mathematics Subject Classification ID: 12F99
Mathematics Subject Classification ID: 12F20
zbMATH DE Number: 3900903
zbMATH Keywords: bottom theorem
zbMATH Keywords: Haar measure
zbMATH Keywords: Hilbertian field
zbMATH Keywords: absolute Galois group
MaRDI profile type: Publication
cites work: Non-free torsion-free profinite groups with open free subgroups
cites work: Algebraic extensions of finite corank of Hilbertian fields
cites work: An analogue of Artin-Schreier theorem
cites work: Q5625306
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description: scientific article; zbMATH DE number 3900903