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Cover of Generic Polynomials

Generic Polynomials

Constructive Aspects of the Inverse Galois Problem (Mathematical Sciences Research Institute Publications)

By Christian U. Jensen,Arne Ledet,Noriko Yui

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Publish Date

December 9, 2002

Publisher

Cambridge University Press

Language

eng

Pages

268

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.