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Algebraic Patching

Name: Algebraic Patching
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 01656445
Price: 54.36 EUR
Availability: InStock
Author: Moshe Jarden
ISBN: 9783642151279

Moshe Jarden

Language

English

Book Hardback

Libristo code: 01656445

Publishers Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, January 2011

Assuming only basic algebra and Galois theory, the book develops the method of "algebraic patching"... Full description

Libristo code: 01656445

132 b

54.36 €

106.32 лв

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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 $C$.