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Algebraic Patching (Hardcover, 2011 Ed.) Loot Price: R1,441
Discovery Miles 14 410
Repayment Terms: R135 pm x 12*
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Algebraic Patching (Hardcover, 2011 Ed.): Moshe Jarden

Algebraic Patching (Hardcover, 2011 Ed.)

Moshe Jarden

Series: Springer Monographs in Mathematics

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Loot Price R1,441 Discovery Miles 14 410 | Repayment Terms: R135 pm x 12*

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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 $C$.

General

Imprint: Springer-Verlag
Country of origin: Germany
Series: Springer Monographs in Mathematics
Release date: 2011
First published: 2011
Authors: Moshe Jarden
Dimensions: 235 x 155 x 22mm (L x W x T)
Format: Hardcover
Pages: 292
Edition: 2011 Ed.
ISBN-13: 978-3-642-15127-9
Categories: Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory
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LSN: 3-642-15127-2
Barcode: 9783642151279

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