Generic Polynomials
Subtitle: Constructive Aspects of the Inverse Galois Problem (Mathematical Sciences Research Institute Publications)
Publisher: Cambridge University Press
Published: December 9, 2002
Language: eng
Format: Hardcover
Number of pages: 268
ISBN-13: 9780521819985
Subjects: Fields & rings; Number theory; Inverse Galois theory; Algebraic Geometry; Polynomials; Mathematics; Science/Mathematics; Algebra - General; Mathematics / Algebra / General; Finite Mathematics; Geometry - Algebraic
First sentence: In this chapter, we collect some results necessary for the subsequent discussions of Galois theory and the Inverse Galois Problem.
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.