Generic Polynomials: Constructive Aspects of the Inverse...

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Generic Polynomials: Constructive Aspects of the Inverse Galois Problem

Name: Generic Polynomials: Constructive Aspects of the Inverse Galois Problem
ISBN: 9780521819985

Christian U. Jensen

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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.

Категорії:

Mathematics

Рік:

2002

Видавництво:

Cambridge University Press

Мова:

english

Сторінки:

268

ISBN 10:

0521819989