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Projective Group Structures as Absolute Galois Structures with Block Approximation
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
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Projective Group Structures as Absolute Galois Structures with Block Approximation
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 |
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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 field-valuation structure with block approximation.
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Table of Contents
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Chapters
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Introduction
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1. Étale topology
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2. Group structures
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3. Completion of a cover to a cartesian square
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4. Projective group structures
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5. Special covers
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6. Unirationally closed fields
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7. Valued fields
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8. The space of valuation of a field
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9. Locally uniform $\upsilon $-adic topologies
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10. Locally uniform Hensel’s lemma
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11. Field valuation structures
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12. Block approximation
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13. Rigid Henselian extensions
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14. Projective group structures as absolute Galois structures
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15. From field structures to field valuation structures
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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 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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