Verwandte Artikel zu Algebraic Patching (Springer Monographs in Mathematics)
Inhaltsangabe
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 $C$.
Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.
Über die Autorin bzw. den Autor
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.
Von der hinteren Coverseite
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 $C$.
„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.
Neu kaufen
Diesen Artikel anzeigen
EUR 60,13
EUR 13,76 für den Versand von Vereinigtes Königreich nach USA
Versandziele, Kosten & DauerWeitere beliebte Ausgaben desselben Titels
Suchergebnisse für Algebraic Patching (Springer Monographs in Mathematics)
Beispielbild für diese ISBN
Algebraic Patching (Springer Monographs in Mathematics)
Anbieter: Ria Christie Collections, Uxbridge, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
Zustand: New. In. Artikel-Nr. ria9783642266515_new
Anzahl: Mehr als 20 verfügbar
Beispielbild für diese ISBN
Algebraic Patching (Springer Monographs in Mathematics)
Anbieter: Kennys Bookstore, Olney, MD, USA
Verkäuferbewertung 5 von 5 Sternen
Zustand: New. 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". Series: Springer Monographs in Mathematics. Num Pages: 292 pages, biography. BIC Classification: PBF; PBG. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 17. Weight in Grams: 486. . 2013. 2011th Edition. Paperback. . . . . Books ship from the US and Ireland. Artikel-Nr. V9783642266515
Anzahl: 15 verfügbar
Beispielbild für diese ISBN
Algebraic Patching
Anbieter: Revaluation Books, Exeter, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
Paperback. Zustand: Brand New. 2011 edition. 300 pages. 9.25x6.10x0.94 inches. In Stock. Artikel-Nr. x-3642266517
Anzahl: 2 verfügbar
Foto des Verkäufers
Algebraic Patching
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 $C$. Artikel-Nr. 9783642266515
Anzahl: 1 verfügbar