Jean-Pierre Serre

Topics in Galois Theory

• Gebundenes Buch

Produktbeschreibung

Based on a course given by the author, which focuses on the inverse problem of Galois Theory: the construction of field extensions having a given finite group as Galois group. This book is devoted to rationality and rigidity criteria and their application in realizing certain groups as Galois groups of regular extensions of Q(T).

Produktdetails

• Research Notes in Mathematics
• Verlag: Taylor & Francis Inc
• 2 ed
• Seitenzahl: 120
• Erscheinungstermin: 2. November 2007
• Englisch
• Abmessung: 240mm x 161mm x 17mm
• Gewicht: 312g
• ISBN-13: 9781568814124
• ISBN-10: 1568814127
• Artikelnr.: 26953441

Autorenporträt

Jean-Pierre Serre

Inhaltsangabe

Foreword
Notation
Introduction
1 Examples in low degree
2 Nilpotent and solvable groups as Galois groups over Q
3 Hilbert's irreducibility theorem
4 Galois extensions of Q(T): first examples
5 Galois extensions of Q(T) given by torsion on elliptic curves
6 Galois extensions of C(T)
7 Rigidity and rationality on finite groups
8 Construction of Galois extensions of Q(T) by the rigidity method
9 The form Tr(x2) and its applications
10 Appendix: the large sieve inequality
Bibliography