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Algebraic Patching
Language
English
English
Book
Hardback
Assuming only basic algebra and Galois theory, the book develops the method of "algebraic patching"...
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Libristo code: 01656445
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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 $C$.
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About the book
Full name
Algebraic Patching
Author
Moshe Jarden
Language
English
English
Binding
Book - Hardback
Date of issue
2011
Number of pages
292
EAN
9783642151279
ISBN
3642151272
Libristo code
01656445
Weight
582
Dimensions
160 x 239 x 22
Categories
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