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Algebraic Patching (Springer Monographs in Mathematics)
Moshe Jarden
€ 64.99
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Description for Algebraic Patching (Springer Monographs in Mathematics)
Paperback. 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.
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
2013
Publisher
Springer
Condition
New
Series
Springer Monographs in Mathematics
Number of Pages
292
Place of Publication
Berlin, Germany
ISBN
9783642266515
SKU
V9783642266515
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About 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 ... Read more
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