Projective group structures as absolute Galois structures with block approximation
Author(s)
Bibliographic Information
Projective group structures as absolute Galois structures with block approximation
(Memoirs of the American Mathematical Society, no. 884)
American Mathematical Society, 2007
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Note
"September 2007, volume 189, number 884 (first of 4 numbers)"
Bibliography: p. 55-56
Description and Table of Contents
Description
The authors prove: A proper profinite group structure $\mathbf{G $ is projective if and only if $\mathbf{G $ is the absolute Galois group structure of a proper field-valuation structure with block approximation.
Table of Contents
Introduction Etale topology Group structures Completion of a cover to a cartesian square Projective group structures Special covers Unirationally closed fields Valued fields The space of valuation of a field Locally uniform $v$-adic topologies Locally uniform Hensel's lemma Field valuation structures Block approximation Rigid Henselian extensions Projective group structures as absolute Galois structures From field structures to field valuation structures References.
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