Projective group structures as absolute Galois structures with block approximation

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Bibliographic Information

Projective group structures as absolute Galois structures with block approximation

Dan Haran, Moshe Jarden, Florian Pop

(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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