Projective Group Structures as Absolute Galois Structures with Block Approximation
Published on 1. September 2007
Book
Paperback/Softback
56 pages
978-0-8218-3995-9 (ISBN)
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.
More details
Series
Edition
illustrated Edition
Language
English
Place of publication
Providence
United States
Target group
College/higher education
Professional and scholarly
Illustrations
Illustrations
Weight
170 gr
ISBN-13
978-0-8218-3995-9 (9780821839959)
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Schweitzer Classification
Content
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.