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- catalog abstract ""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.".
- catalog contributor b12674155.
- catalog contributor b12674156.
- catalog contributor b12674157.
- catalog created "c2002.".
- catalog date "2002".
- catalog date "c2002.".
- catalog dateCopyrighted "c2002.".
- catalog 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.".
- catalog description "Ch. 1. Preliminaries -- Ch. 2. Groups of Small Degree -- Ch. 3. Hilbertian Fields -- Ch. 4. Galois Theory of Commutative Rings -- Ch. 5. Generic Extensions and Generic Polynomials -- Ch. 6. Solvable Groups I: p-Groups -- Ch. 7. Solvable Groups II: Frobenius Groups -- Ch. 8. The Number of Parameters -- App. A. Technical Results -- App. B. Invariant Theory.".
- catalog description "Includes bibliographical references (p. 247-253) and index.".
- catalog extent "ix, 258 p. :".
- catalog identifier "0521819989".
- catalog isPartOf "Mathematical Sciences Research Institute publications ; 45".
- catalog issued "2002".
- catalog issued "c2002.".
- catalog language "eng".
- catalog publisher "Cambridge ; New York : Cambridge University Press,".
- catalog subject "512/.3 21".
- catalog subject "Inverse Galois theory.".
- catalog subject "Polynomials.".
- catalog subject "QA247 .J46 2002".
- catalog tableOfContents "Ch. 1. Preliminaries -- Ch. 2. Groups of Small Degree -- Ch. 3. Hilbertian Fields -- Ch. 4. Galois Theory of Commutative Rings -- Ch. 5. Generic Extensions and Generic Polynomials -- Ch. 6. Solvable Groups I: p-Groups -- Ch. 7. Solvable Groups II: Frobenius Groups -- Ch. 8. The Number of Parameters -- App. A. Technical Results -- App. B. Invariant Theory.".
- catalog title "Generic polynomials : constructive aspects of the inverse Galois problem / Christian U. Jensen, Arne Ledet, Noriko Yui.".
- catalog type "text".