Springer Monographs in Mathematics / Algebraic Patching
(Sprache: Englisch)
This 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".
Jetzt vorbestellen
versandkostenfrei
Buch (Gebunden)
Fr. 59.00
inkl. MwSt.
- Kreditkarte, Paypal, Rechnungskauf
- 30 Tage Widerrufsrecht
Produktdetails
Produktinformationen zu „Springer Monographs in Mathematics / Algebraic Patching “
This 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".
Klappentext zu „Springer Monographs in Mathematics / 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". 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 $C$ is free of rank equal to the cardinality of $C$.
Inhaltsverzeichnis zu „Springer Monographs in Mathematics / Algebraic Patching “
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.
Autoren-Porträt von Moshe Jarden
Moshe Jarden was born in 1942 in Tel Aviv, Israel. In 1970 he received his Ph.D in Mathematics from the Hebrew University of Jerusalem having Hillel Furstenberg as his thesis advisor. He spent three years (1972-1974) at the Mathematisches Institut of Heidelberg with Peter Roquette as his mentor and habilitated there in 1972. The years he spent in Heidelberg laid the foundation to a long termed cooperation with German mathematicians, especially with Peter Roquette, Wulf-Dieter Geyer, Gerhard Frey, and Juergen Ritter. As a token to his achievements in Mathematics and his fruitful cooperation with German mathematicians the Alexander von Humboldt Foundation granted Jarden in 2001 the L. Meithner-A.v.Humboldt Prize. In the autumn of 1974 Jarden returned to Israel and joined the School of Mathematics of Tel Aviv University, where he became a full professor in 1982 and the incumbent of the Cissie and Aaron Beare chair in Algebra and Number Theory in 1998. Jointly with Michael Fried, Jarden published the book "Field Arithmetic" in the series Ergebnisse der Mathematik und ihrer Grenzgebiete of Springer.He won the Landau Prize for the publication of that book.
Moshe Jarden inherited his love to Mathematics from his father Dr.
Dov Jarden who was both a Hebrew linguistic and a mathematician. He is married to Rina, has three daughters Kmeha, Hemyat, and Uri, and a son Guy. He also has thirteen grandchildren and lives in Mevasseret Zion, near Jerusalem.hard Frey, and Juergen Ritter. As a token to his achievements in Mathematics and his fruitful cooperation with German mathematicians the Alexander von Humboldt Foundation granted Jarden in 2001 the L. Meithner-A.v.Humboldt Prize. In the autumn of 1974 Jarden returned to Israel and joined the School of Mathematics of Tel Aviv University, where he became a full professor in 1982 and the incumbent of the Cissie and Aaron Beare chair in Algebra and Number Theory in 1998. Jointly with Michael Fried, Jarden published the book
... mehr
"Field
... weniger
Bibliographische Angaben
- Autor: Moshe Jarden
- 2010, XXIV, 292 Seiten, Masse: 16 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer, Berlin
- ISBN-10: 3642151272
- ISBN-13: 9783642151279
- Erscheinungsdatum: 05.01.2011
Sprache:
Englisch
Kommentar zu "Springer Monographs in Mathematics / Algebraic Patching"
0 Gebrauchte Artikel zu „Springer Monographs in Mathematics / Algebraic Patching“
Zustand | Preis | Porto | Zahlung | Verkäufer | Rating |
---|
Schreiben Sie einen Kommentar zu "Springer Monographs in Mathematics / Algebraic Patching".
Kommentar verfassen