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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
Available Formats:
Electronic 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 Click above image for expanded view 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 Available Formats:  Electronic 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.

• 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
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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
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