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Generic Polynomials Constructive Aspects of the Inverse Galois Problem

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ISBN-10: 0521819989

ISBN-13: 9780521819985

Edition: 2002

Authors: Christian U. Jensen, Arne Ledet, Noriko Yui, Silvio Levy

List price: $144.00
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Description:

This work describes a constructive approach to the Inverse Galois problem: given a finite group G and a field K, determine whether there exists a Galois extension of K whose Galois group is isomorphic to G.
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Book details

List price: $144.00
Copyright year: 2002
Publisher: Cambridge University Press
Publication date: 12/9/2002
Binding: Hardcover
Pages: 268
Size: 6.30" wide x 9.61" long x 0.79" tall
Weight: 1.122

Introduction
Preliminaries
Groups of small degree
Hilbertian fields
Galois theory of commutative rings
Generic extensions and generic polynomials
Solvable groups I: p-groups
Solvable groups II: Frobenius groups
The number of parameters
Technical results
Invariant theory
Bibliography
Index