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Algebraic Patching

Moshe Jarden

This book is available for download with iBooks on your Mac or iOS device, and with iTunes on your computer. Books can be read with iBooks on your Mac or iOS device.

Description

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 $C$.

Algebraic Patching
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  • $79.99
  • Available on iPhone, iPad, iPod touch, and Mac.
  • Category: Mathematics
  • Published: Jan 03, 2011
  • Publisher: Springer Berlin Heidelberg
  • Seller: Springer Science+Business Media, LLC
  • Print Length: 300 Pages
  • Language: English
  • Requirements: To view this book, you must have an iOS device with iBooks 1.3.1 or later and iOS 4.3.3 or later, or a Mac with iBooks 1.0 or later and OS X 10.9 or later.

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