Topics in Galois Theory - Couverture rigide

Serre, Jean-Pierre

Couverture rigide

ISBN 10 : 1568814127 ISBN 13 : 9781568814124

Editeur : A K Peters/CRC Press, 2007

Synopsis

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 construction for p-groups, p != 2, as well as Hilbert's irreducibility theorem and the large sieve inequality, are presented. The second half is devoted to rationality and rigidity criteria and their application in realizing certain groups as Galois groups of regular extensions of Q(T). While proofs are not carried out in full detail, the book contains a number of examples, exercises, and open problems.

A propos du livre

À propos de l?auteur

Jean-Pierre Serre is one of the leading mathematicians of the twentieth century, active in algebraic geometry, number theory, and topology. He has received numerous awards and honors for his mathematical research and exposition, including the Fields Medal in 1954 and the Abel Prize in 2003.

Détails de l'édition

• Éditeur: A K Peters/CRC Press
• Date d'édition: 2007
• Langue: anglais
• ISBN 10: 1568814127
• ISBN 13: 9781568814124
• Reliure: Relié
• Numéro d'édition: 2
• Nombre de pages: 136
• Coordonnées du fabricant: CRC Press; https://www.routledge-ny.com; ; 6000 BROKEN SOUND PARKWAY, NW SUITE 300; BOCA RATON; FL; 33487; Etats-Unis
• Personne responsable: non disponible