Generic Polynomials
Constructive Aspects of the Inverse Galois Problem (Mathematical Sciences Research Institute Publications)
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Publication
2002-12-09 - Cambridge University Press
Language
English
Word Count
67,000 words, Guess
Page Count
268 pages
Physical Format
Hardcover
Identifiers
- Open LibraryOL7764919M
- ISBN-139780521819985
- ISBN-100521819989
- OCLC Control Number49727844
- Library of Congress Control Number2002067674
and 1 more
- Goodreads4875004
Classifications
- LCCQA247 .J46 2002
Description
"The main theme of the book 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."--Jacket.
First Sentence
In this chapter, we collect some results necessary for the subsequent discussions of Galois theory and the Inverse Galois Problem.
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