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&...
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Livre numérique |
| Lingua: | Anglais |
| Pubblicazione: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edizione: | 1st ed. 2011. |
| Serie: | Springer Monographs in Mathematics
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| Soggetti: | |
| Accesso online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
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 |
Sommario:
- 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.