Generic Polynomials: Constructive Aspects of the Inverse Galois Problem [Hardcover]

Christian U. Jensen (Author), Arne Ledet (Author), Noriko Yui (Author)

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Product Details

Hardcover: 268 pages
Publisher: Cambridge University Press (Dec 9 2002)
Language: English
ISBN-10: 0521819989
ISBN-13: 978-0521819985
Product Dimensions: 23.8 x 16 x 2 cm
Shipping Weight: 540 g
Amazon Bestsellers Rank: #1,644,014 in Books (See Top 100 in Books)

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Review

"...a clearly written book, which uses (almost) exclusively algebraic language (and no cohomology), and which will be useful for every algebraist or number theorist. It is easily accessible and suitable also for first-year graduate students." Mathematical Reviews

Book Description

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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Inside This Book (Learn More)

First Sentence
In this chapter, we collect some results necessary for the subsequent discussions of Galois theory and the Inverse Galois Problem. Read the first page

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