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Development and Applications of Galois Theory

Part of the Universitext book series (UTX)

Abstract

We now apply our general theory to the case of symmetric functions. We let D be an arbitrary field and set E=D(X1,⋯, Xd), the field of rational functions in the variables X1,⋯, Xd. Then the symmetric group Sd acts on E by permuting X1,⋯,Xd

Keywords

Galois Group Galois Theory Galois Extension Primitive Element Irreducible Polynomial 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, Inc. 2006

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