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Science/Engineering Generic Polynomials: Constructive Aspects of the Inverse Galois Problem

Posted on 2010-03-15




Name:Science/Engineering Generic Polynomials: Constructive Aspects of the Inverse Galois Problem
ASIN/ISBN:0521819989
Language:English
File size:1.7 Mb
Publish Date: 2002-12-09
ISBN: 0521819989
Pages: 268 pages
File Type: PDF
File Size: 1,7 MB
Other Info: Cambridge University Press
   Science/Engineering Generic Polynomials: Constructive Aspects of the Inverse Galois Problem

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Christian U. Jensen, Arne Ledet, Noriko Yui “Generic Polynomials: Constructive Aspects of the Inverse Galois Problem"

This book describes a constructive approach to the Inverse Galois problem. The main theme is an exposition of a family of "generic" polynomials for certain finite groups, which give all Galois extensions having the required group as their Galois group. The existence of such generic polynomials is discussed, and where they do exist, a detailed treatment of their construction is given. The book also introduces the notion of "generic dimension" to address the problem of the smallest number of parameters required by a generic polynomial.

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