Main Generic Polynomials: Constructive Aspects of the Inverse Galois Problem (Mathematical Sciences Research Institute Publications, Series Number 45)
Generic Polynomials: Constructive Aspects of the Inverse Galois Problem (Mathematical Sciences Research Institute Publications, Series Number 45) cover

Generic Polynomials: Constructive Aspects of the Inverse Galois Problem (Mathematical Sciences Research Institute Publications, Series Number 45)

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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.
Request Code : ZLIBIO4358572
Categories:
Year:
2002
Edition:
1
Publisher:
Cambridge University Press
Language:
English
Pages:
268
ISBN 10:
0521819989
ISBN 13:
9780521819985
ISBN:
0521819989,9780521819985

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