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Projective Group Structures as Absolute Galois Structures with Block Approximation
Available Formats:
Electronic ISBN: 9781470404888
Product Code: MEMO/189/884.E
List Price: $57.00
MAA Member Price: $51.30
AMS Member Price: $34.20
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Projective Group Structures as Absolute Galois Structures with Block Approximation
Available Formats:
Electronic ISBN:  9781470404888 
Product Code:  MEMO/189/884.E 
List Price:  $57.00 
MAA Member Price:  $51.30 
AMS Member Price:  $34.20 

Book DetailsMemoirs of the American Mathematical SocietyVolume: 189; 2007; 56 ppMSC: Primary 12;
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 fieldvaluation structure with block approximation.

Table of Contents

Chapters

Introduction

1. Étale topology

2. Group structures

3. Completion of a cover to a cartesian square

4. Projective group structures

5. Special covers

6. Unirationally closed fields

7. Valued fields

8. The space of valuation of a field

9. Locally uniform $\upsilon $adic topologies

10. Locally uniform Hensel’s lemma

11. Field valuation structures

12. Block approximation

13. Rigid Henselian extensions

14. Projective group structures as absolute Galois structures

15. From field structures to field valuation structures


RequestsReview Copy – for reviewers who would like to review an AMS bookPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
 Book Details
 Table of Contents
 Requests
Volume: 189; 2007; 56 pp
MSC: Primary 12;
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 fieldvaluation structure with block approximation.

Chapters

Introduction

1. Étale topology

2. Group structures

3. Completion of a cover to a cartesian square

4. Projective group structures

5. Special covers

6. Unirationally closed fields

7. Valued fields

8. The space of valuation of a field

9. Locally uniform $\upsilon $adic topologies

10. Locally uniform Hensel’s lemma

11. Field valuation structures

12. Block approximation

13. Rigid Henselian extensions

14. Projective group structures as absolute Galois structures

15. From field structures to field valuation structures
Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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