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).

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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