Topics in Galois theory /
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 re...
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| Format: | eBook |
| Language: | English |
| Published: |
Wellesley, Mass. :
AK Peters,
©2007.
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| Edition: | Second edition. |
| Series: | Research notes in mathematics (Boston, Mass.) ;
1. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- Front Cover; Contents; 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.