Topics in Galois theory / Jean-Pierere Serre
Series: Research notes in Mathematics ; 1Publication details: Boca Raton : CRC Press, 2020.Edition: 2nd edDescription: xvi, 120 p. ; 23 cmISBN:- 9780367488482 (pbk.)
- 512.32 SER
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| Item type | Current library | Shelving location | Call number | Status | Date due | Barcode | Item holds | |
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Gulbanoo Premji Library, Azim Premji University, Bengaluru | 2nd Floor | 512.32 SER (Browse shelf(Opens below)) | Available | 51505 |
Includes index.
Includes bibliographical references.
Foreword --
Notation --
Introduction --
Chapter 1. Examples in low degree --
Chapter 2. Nilpotent and solvable groups as Galois groups over Q --
Chapter 3. Hilbert’s irreducibility theorem --
Chapter 4. Galois extensions of Q(T): first examples --
Chapter 5. Galois extensions of Q(T) given by torsion on elliptic curves --
Chapter 6. Galois extensions of C(T) --
Chapter 7. Rigidity and rationality on finite groups --
Chapter 8. Construction of Galois extensions of Q(T) by the rigidity method --
Chapter 9. The form Tr(x2) and its applications --
Chapter 10. Appendix: the large sieve inequality --
Bibliography --
Back Cover
This book is based on a course given by the author at Harvard University in the fall semester of 1988. The course focused on the inverse problem of Galois Theory: the construction of field extensions having a given finite group as Galois group. In the first part of the book, classical methods and results, such as the Scholz and Reichardt constructi.
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