Algebraic patching
Assuming only basic algebra and Galois theory, the book develops the method of "algebraic patching" to realize finite groups and, more generally, to solve finite split embedding problems over fields. The method succeeds over rational function fields of one variable over "ample fields&...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Livre numérique |
| Sprache: | Anglais |
| Veröffentlicht: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Ausgabe: | 1st ed. 2011. |
| Schriftenreihe: | Springer Monographs in Mathematics
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| Schlagworte: | |
| Online Zugang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Anmerkung: |
Description d'après consultation du 07 février 2013 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Algebraic patching, Moshe Jarden, Berlin, Springer, 2011, 1 vol. (XXII-290 p.), Springer Monographs in Mathematics, 978-3-642-15127-9 • Algebraic patching, Moshe Jarden, Berlin, Springer, 2011, 1 vol. (XXII-290 p.), Springer Monographs in Mathematics, 978-3-642-15127-9 • Algebraic patching, Moshe Jarden, Berlin, Springer, 2011, 1 vol. (XXII-290 p.), Springer Monographs in Mathematics, 978-3-642-15127-9 • Algebraic Patching, Texte imprimé, 9783642151293 |
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|---|---|---|---|
| 001 | 968266 | ||
| 008 | 110208q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN149908199 | ||
| 020 | |a 9783642151286 | ||
| 041 | 0 | |a eng | |
| 082 | |a 512 | ||
| 084 | |a 12E30. 2010 | ||
| 100 | 1 | |a Jarden, Moshe, |d 1942- | |
| 245 | 1 | 0 | |a Algebraic patching |c by Moshe Jarden. |
| 250 | |a 1st ed. 2011. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Springer Monographs in Mathematics |x 2196-9922 | |
| 500 | |a Description d'après consultation du 07 février 2013 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a 1. Algebraic Patching 2. Normed Rings 3. Several Variables 4. Constant Split Embedding Problems over Complete Fields 5. Ample Fields 6. Non-Ample Fields 7. Split Embedding Problems over Complete Fields 8. Split Embedding Problems over Ample Fields 9. The Absolute Galois Group of C(t) 10. Semi-Free Profinite Groups 11. Function Fields of One Variable over PAC Fields 12. Complete Noetherian Domains Open Problems References Glossary of Notation Index. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a Assuming only basic algebra and Galois theory, the book develops the method of "algebraic patching" to realize finite groups and, more generally, to solve finite split embedding problems over fields. The method succeeds over rational function fields of one variable over "ample fields". Among others, it leads to the solution of two central results in "Field Arithmetic": (a) The absolute Galois group of a countable Hilbertian pac field is free on countably many generators; (b) The absolute Galois group of a function field of one variable over an algebraically closed field dollar dollar C dollar dollar is free of rank equal to the cardinality of dollar dollar C dollar dollar . | ||
| 650 | |a Galois, Théorie de | ||
| 650 | |a Corps algébriques | ||
| 776 | 0 | |0 149880499 |t Algebraic patching |f Moshe Jarden |c Berlin |n Springer |d 2011 |p 1 vol. (XXII-290 p.) |s Springer Monographs in Mathematics |z 978-3-642-15127-9 | |
| 776 | 0 | |0 149880499 |t Algebraic patching |f Moshe Jarden |c Berlin |n Springer |d 2011 |p 1 vol. (XXII-290 p.) |s Springer Monographs in Mathematics |z 978-3-642-15127-9 | |
| 776 | 0 | |0 149880499 |t Algebraic patching |f Moshe Jarden |c Berlin |n Springer |d 2011 |p 1 vol. (XXII-290 p.) |s Springer Monographs in Mathematics |z 978-3-642-15127-9 | |
| 776 | 0 | |t Algebraic Patching |b Texte imprimé |z 9783642151293 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-642-15128-6 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-01MZW4T7-F |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750622512 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-3-642-15128-6 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:753980207 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-3-642-15128-6 |z Accès INSA CVL | |
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