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Projective Group Structures as Absolute Galois Structures with Block Approximation
 
Dan Haran Tel Aviv University, Tel Aviv, Israel
Moshe Jarden Tel Aviv University, Tel Aviv, Israel
Florian Pop University of Pennsylvania, Philadelphia, PA
Projective Group Structures as Absolute Galois Structures with Block Approximation
eBook ISBN:  978-1-4704-0488-8
Product Code:  MEMO/189/884.E
List Price: $57.00
MAA Member Price: $51.30
AMS Member Price: $34.20
Projective Group Structures as Absolute Galois Structures with Block Approximation
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Projective Group Structures as Absolute Galois Structures with Block Approximation
Dan Haran Tel Aviv University, Tel Aviv, Israel
Moshe Jarden Tel Aviv University, Tel Aviv, Israel
Florian Pop University of Pennsylvania, Philadelphia, PA
eBook ISBN:  978-1-4704-0488-8
Product Code:  MEMO/189/884.E
List Price: $57.00
MAA Member Price: $51.30
AMS Member Price: $34.20
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 1892007; 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 field-valuation 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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1892007; 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 field-valuation 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 publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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