Serre, Jean-Pierere <br/><br/>
Topics in Galois theory / 
Jean-Pierere Serre 
 - 2nd ed. 
 - Boca Raton :   CRC Press,  2020. 
 - xvi, 120 p. ;   23 cm. 
 - Research notes in Mathematics  1 .
<br/><br/> Includes index. 
<br/><br/>Includes bibliographical references. 
<br/><br/>Foreword --<br/>Notation --<br/>Introduction --<br/>Chapter 1. Examples in low degree --<br/>Chapter 2. Nilpotent and solvable groups as Galois groups over Q --<br/>Chapter 3. Hilbert’s irreducibility theorem --<br/>Chapter 4. Galois extensions of Q(T): first examples --<br/>Chapter 5. Galois extensions of Q(T) given by torsion on elliptic curves --<br/>Chapter 6. Galois extensions of C(T) --<br/>Chapter 7. Rigidity and rationality on finite groups --<br/>Chapter 8. Construction of Galois extensions of Q(T) by the rigidity method --<br/>Chapter 9. The form Tr(x2) and its applications --<br/>Chapter 10. Appendix: the large sieve inequality --<br/>Bibliography --<br/>Back Cover 
<br/><br/> 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. 
<br/><br/><label>ISBN: </label>9780367488482 (pbk.) 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Algebra<br/>Number Theory<br/>Galois Theory
<br/><br/><label>Dewey Class. No.: </label>512.32 SER