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" Algebraic patching / "
Moshe Jarden.
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BL
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| Record Number
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982833
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| Doc. No
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b737203
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| Main Entry
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Jarden, Moshe,1942-
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| Title & Author
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Algebraic patching /\ Moshe Jarden.
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| Publication Statement
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Heidelberg ;New York :: Springer,, ©2011.
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, ©2011
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| Series Statement
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Springer monographs in mathematics
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| Page. NO
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1 online resource (xxii, 290 pages) :: illustrations
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| ISBN
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3642151272
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: 3642151280
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: 9783642151279
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: 9783642151286
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9783642151279
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| Bibliographies/Indexes
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Includes bibliographical references (pages 276-284) and index.
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| Contents
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Algebraic Patching -- Normed Rings -- Several Variables -- Constant Split Embedding Problems over Complete Fields -- Ample Fields -- Non-Ample Fields -- Split Embedding Problems over Complete Fields -- Split Embedding Problems over Ample Fields -- The Absolute Galois Group of C(t) -- Semi-Free Profinite Groups -- Function Fields of One Variable over PAC Fields -- Complete Noetherian Domains.
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| Abstract
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Assuming only basic algebra and Galois theory, 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'. Among others, it leads to the solution of two central results in 'Field Arithmetic'. --
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| Subject
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Algebra, Abstract.
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Galois theory.
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Algebra, Abstract.
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Galois theory.
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MATHEMATICS-- Algebra-- Intermediate.
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| Dewey Classification
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512/.32
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| LC Classification
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QA214.J37 2011
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